128426401920 has 256 divisors, whose sum is σ = 416682403200. Its totient is φ = 33639530496.

The previous prime is 128426401907. The next prime is 128426401921. The reversal of 128426401920 is 29104624821.

It is not an unprimeable number, because it can be changed into a prime (128426401921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26825767 + ... + 26830553.

Almost surely, 2^128426401920 is an apocalyptic number.

128426401920 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 128426401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208341201600).

128426401920 is an abundant number, since it is smaller than the sum of its proper divisors (288256001280).

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

128426401920 is a wasteful number, since it uses less digits than its factorization.

128426401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 128426401920 in words is "one hundred twenty-eight billion, four hundred twenty-six million, four hundred one thousand, nine hundred twenty".