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40255705440 = 2532527955351
BaseRepresentation
bin100101011111011011…
…010101000101100000
310211220111012201102100
4211133123111011200
51124420430033230
630254311250400
72623400564466
oct453733250540
9124814181370
1040255705440
1116088329355
127975679a00
133a47041b62
141d3c530836
1510a9196660
hex95f6d5160

40255705440 has 72 divisors (see below), whose sum is σ = 137372599728. Its totient is φ = 10734854400.

The previous prime is 40255705439. The next prime is 40255705537. The reversal of 40255705440 is 4450755204.

It is a happy number.

40255705440 is a `hidden beast` number, since 40 + 2 + 5 + 5 + 70 + 544 + 0 = 666.

40255705440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40255705395 and 40255705404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13976236 + ... + 13979115.

It is an arithmetic number, because the mean of its divisors is an integer number (1907952774).

Almost surely, 240255705440 is an apocalyptic number.

40255705440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40255705440 is an abundant number, since it is smaller than the sum of its proper divisors (97116894288).

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

40255705440 is a wasteful number, since it uses less digits than its factorization.

40255705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27955372 (or 27955361 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 40255705440 in words is "forty billion, two hundred fifty-five million, seven hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 27955351 55910702 83866053 111821404 139776755 167732106 223642808 251598159 279553510 335464212 419330265 447285616 503196318 559107020 670928424 838660530 894571232 1006392636 1118214040 1257990795 1341856848 1677321060 2012785272 2236428080 2515981590 2683713696 3354642120 4025570544 4472856160 5031963180 6709284240 8051141088 10063926360 13418568480 20127852720 40255705440