128881022400 has 1008 divisors, whose sum is σ = 516433612800. Its totient is φ = 31248322560.

The previous prime is 128881022393. The next prime is 128881022401. The reversal of 128881022400 is 4220188821.

It is a super-2 number, since 2×128881022400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128881022401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 927201531 + ... + 927201669.

Almost surely, 2^128881022400 is an apocalyptic number.

128881022400 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 128881022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258216806400).

128881022400 is an abundant number, since it is smaller than the sum of its proper divisors (387552590400).

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

128881022400 is a wasteful number, since it uses less digits than its factorization.

128881022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 128881022400 in words is "one hundred twenty-eight billion, eight hundred eighty-one million, twenty-two thousand, four hundred".