128732814400 has 42 divisors (see below), whose sum is σ = 316763185370. Its totient is φ = 51493125120.

The previous prime is 128732814373. The next prime is 128732814407. The reversal of 128732814400 is 4418237821.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 128731699264 = 1056^2 + 358792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (128732814407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40227405 + ... + 40230604.

Almost surely, 2^128732814400 is an apocalyptic number.

128732814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128732814400 is an abundant number, since it is smaller than the sum of its proper divisors (188030370970).

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

128732814400 is an equidigital number, since it uses as much as digits as its factorization.

128732814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80458031 (or 80458016 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 128732814400 in words is "one hundred twenty-eight billion, seven hundred thirty-two million, eight hundred fourteen thousand, four hundred".