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40744043377040 = 2458339291561759
BaseRepresentation
bin10010100001110011101100…
…01110110111000110010000
312100021002111102210210010002
421100321312032313012100
520320022300101031130
6222353315524025132
711403442243306223
oct1120716616670620
9170232442723102
1040744043377040
1111a894a7322823
1246a05758321a8
1319971ba6b5343
14a0c044d935ba
154a9ca574db45
hex250e763b7190

40744043377040 has 80 divisors (see below), whose sum is σ = 95895687283200. Its totient is φ = 16097152152576.

The previous prime is 40744043377013. The next prime is 40744043377057. The reversal of 40744043377040 is 4077334044704.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25307681 + ... + 26869439.

It is an arithmetic number, because the mean of its divisors is an integer number (1198696091040).

Almost surely, 240744043377040 is an apocalyptic number.

40744043377040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40744043377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47947843641600).

40744043377040 is an abundant number, since it is smaller than the sum of its proper divisors (55151643906160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40744043377040 is a wasteful number, since it uses less digits than its factorization.

40744043377040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565784 (or 1565778 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 47.

The spelling of 40744043377040 in words is "forty trillion, seven hundred forty-four billion, forty-three million, three hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 3929 6640 7858 15716 19645 31432 39290 62864 78580 157160 314320 326107 652214 1304428 1561759 1630535 2608856 3123518 3261070 5217712 6247036 6522140 7808795 12494072 13044280 15617590 24988144 26088560 31235180 62470360 124940720 129625997 259251994 518503988 648129985 1037007976 1296259970 2074015952 2592519940 5185039880 6136151111 10370079760 12272302222 24544604444 30680755555 49089208888 61361511110 98178417776 122723022220 245446044440 490892088880 509300542213 1018601084426 2037202168852 2546502711065 4074404337704 5093005422130 8148808675408 10186010844260 20372021688520 40744043377040