157385629440 has 432 divisors, whose sum is σ = 589483876800. Its totient is φ = 38539100160.

The previous prime is 157385629433. The next prime is 157385629463. The reversal of 157385629440 is 44926583751.

It is a happy number.

157385629440 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 8 + 5 + 629 + 4 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29799600 + ... + 29804880.

It is a 1-persistent number, because it is pandigital, but 2⋅157385629440 = 314771258880 is not.

Almost surely, 2^157385629440 is an apocalyptic number.

157385629440 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 157385629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294741938400).

157385629440 is an abundant number, since it is smaller than the sum of its proper divisors (432098247360).

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

157385629440 is a wasteful number, since it uses less digits than its factorization.

157385629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 157385629440 in words is "one hundred fifty-seven billion, three hundred eighty-five million, six hundred twenty-nine thousand, four hundred forty".