157796929440 has 576 divisors, whose sum is σ = 594991837440. Its totient is φ = 39355269120.

The previous prime is 157796929439. The next prime is 157796929453. The reversal of 157796929440 is 44929697751.

157796929440 is a `hidden beast` number, since 15 + 7 + 7 + 96 + 92 + 9 + 440 = 666.

157796929440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119633101 + ... + 119634419.

It is an arithmetic number, because the mean of its divisors is an integer number (1032971940).

Almost surely, 2^157796929440 is an apocalyptic number.

157796929440 is a gapful number since it is divisible by the number (10) 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 157796929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297495918720).

157796929440 is an abundant number, since it is smaller than the sum of its proper divisors (437194908000).

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

157796929440 is a wasteful number, since it uses less digits than its factorization.

157796929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 157796929440 in words is "one hundred fifty-seven billion, seven hundred ninety-six million, nine hundred twenty-nine thousand, four hundred forty".