128356420920 has 512 divisors, whose sum is σ = 491968512000. Its totient is φ = 26057687040.

The previous prime is 128356420903. The next prime is 128356420931. The reversal of 128356420920 is 29024653821.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 129521625 + ... + 129522615.

It is an arithmetic number, because the mean of its divisors is an integer number (960876000).

Almost surely, 2^128356420920 is an apocalyptic number.

128356420920 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 128356420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245984256000).

128356420920 is an abundant number, since it is smaller than the sum of its proper divisors (363612091080).

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

128356420920 is a wasteful number, since it uses less digits than its factorization.

128356420920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 128356420920 in words is "one hundred twenty-eight billion, three hundred fifty-six million, four hundred twenty thousand, nine hundred twenty".