128642711400 has 144 divisors (see below), whose sum is σ = 493743026400. Its totient is φ = 29404045440.

The previous prime is 128642711383. The next prime is 128642711419. The reversal of 128642711400 is 4117246821.

It is a happy number.

128642711400 is a `hidden beast` number, since 1 + 2 + 8 + 642 + 7 + 1 + 1 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5092270 + ... + 5117469.

Almost surely, 2^128642711400 is an apocalyptic number.

128642711400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128642711400 is an abundant number, since it is smaller than the sum of its proper divisors (365100315000).

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

128642711400 is a wasteful number, since it uses less digits than its factorization.

128642711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209768 (or 10209756 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 128642711400 in words is "one hundred twenty-eight billion, six hundred forty-two million, seven hundred eleven thousand, four hundred".