157632789440 has 224 divisors, whose sum is σ = 436378161024. Its totient is φ = 53119549440.

The previous prime is 157632789437. The next prime is 157632789463. The reversal of 157632789440 is 44987236751.

157632789440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 51834320 + ... + 51837360.

It is a 1-persistent number, because it is pandigital, but 2⋅157632789440 = 315265578880 is not.

Almost surely, 2^157632789440 is an apocalyptic number.

157632789440 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 157632789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218189080512).

157632789440 is an abundant number, since it is smaller than the sum of its proper divisors (278745371584).

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

157632789440 is a wasteful number, since it uses less digits than its factorization.

157632789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 157632789440 in words is "one hundred fifty-seven billion, six hundred thirty-two million, seven hundred eighty-nine thousand, four hundred forty".