40690604312928 has 576 divisors, whose sum is σ = 129629165702400. Its totient is φ = 12032082247680.

The previous prime is 40690604312887. The next prime is 40690604313001. The reversal of 40690604312928 is 82921340609604.

40690604312928 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 0 + 604 + 3 + 1 + 2 + 9 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16877064043 + ... + 16877066453.

It is an arithmetic number, because the mean of its divisors is an integer number (225050634900).

Almost surely, 2^{40690604312928} is an apocalyptic number.

40690604312928 is a gapful number since it is divisible by the number (48) 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 40690604312928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64814582851200).

40690604312928 is an abundant number, since it is smaller than the sum of its proper divisors (88938561389472).

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

40690604312928 is a wasteful number, since it uses less digits than its factorization.

40690604312928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 40690604312928 in words is "forty trillion, six hundred ninety billion, six hundred four million, three hundred twelve thousand, nine hundred twenty-eight".