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4040336190240 = 2533571723283179
BaseRepresentation
bin111010110010110110110…
…011011010101100100000
3112022020210222100110202000
4322302312303122230200
51012144102031041430
612332034350324000
7564622203653310
oct72626663325440
915266728313660
104040336190240
1113185514a2389
125530644b9600
1323400470a51c
14dd7a6421440
157017224de60
hex3acb6cdab20

4040336190240 has 2304 divisors, whose sum is σ = 18205021900800. Its totient is φ = 816785620992.

The previous prime is 4040336190239. The next prime is 4040336190259. The reversal of 4040336190240 is 420916330404.

It is a happy number.

4040336190240 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 33 + 619 + 0 + 2 + 4 + 0 = 666.

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 = 4040336190195 and 4040336190204.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22571710471 + ... + 22571710649.

It is an arithmetic number, because the mean of its divisors is an integer number (7901485200).

Almost surely, 24040336190240 is an apocalyptic number.

4040336190240 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 4040336190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102510950400).

4040336190240 is an abundant number, since it is smaller than the sum of its proper divisors (14164685710560).

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

4040336190240 is a wasteful number, since it uses less digits than its factorization.

4040336190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 4040336190240 in words is "four trillion, forty billion, three hundred thirty-six million, one hundred ninety thousand, two hundred forty".