128161408320 has 672 divisors, whose sum is σ = 509960880000. Its totient is φ = 29216194560.

The previous prime is 128161408313. The next prime is 128161408387. The reversal of 128161408320 is 23804161821.

128161408320 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 614 + 0 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89685366 + ... + 89686794.

Almost surely, 2^128161408320 is an apocalyptic number.

128161408320 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 128161408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254980440000).

128161408320 is an abundant number, since it is smaller than the sum of its proper divisors (381799471680).

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

128161408320 is a wasteful number, since it uses less digits than its factorization.

128161408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 128161408320 in words is "one hundred twenty-eight billion, one hundred sixty-one million, four hundred eight thousand, three hundred twenty".