157534964929440 has 2880 divisors, whose sum is σ = 694404251025408. Its totient is φ = 32849929728000.

The previous prime is 157534964929429. The next prime is 157534964929631. The reversal of 157534964929440 is 44929469435751.

157534964929440 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 3 + 4 + 9 + 6 + 492 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1043277913365 + ... + 1043277913515.

Almost surely, 2^{157534964929440} is an apocalyptic number.

157534964929440 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 157534964929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347202125512704).

157534964929440 is an abundant number, since it is smaller than the sum of its proper divisors (536869286095968).

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

157534964929440 is a wasteful number, since it uses less digits than its factorization.

157534964929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 157534964929440 in words is "one hundred fifty-seven trillion, five hundred thirty-four billion, nine hundred sixty-four million, nine hundred twenty-nine thousand, four hundred forty".