40903387781256 has 2304 divisors, whose sum is σ = 165638753280000. Its totient is φ = 8929286553600.

The previous prime is 40903387781233. The next prime is 40903387781293. The reversal of 40903387781256 is 65218778330904.

40903387781256 is a `hidden beast` number, since 40 + 9 + 0 + 338 + 7 + 7 + 8 + 1 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 40903387781193 and 40903387781202.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 53190360840 + ... + 53190361608.

It is an arithmetic number, because the mean of its divisors is an integer number (71891820000).

It is a 1-persistent number, because it is pandigital, but 2⋅40903387781256 = 81806775562512 is not.

Almost surely, 2^{40903387781256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40903387781256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82819376640000).

40903387781256 is an abundant number, since it is smaller than the sum of its proper divisors (124735365498744).

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

40903387781256 is a wasteful number, since it uses less digits than its factorization.

40903387781256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 40903387781256 in words is "forty trillion, nine hundred three billion, three hundred eighty-seven million, seven hundred eighty-one thousand, two hundred fifty-six".