128400388900 has 81 divisors (see below), whose sum is σ = 324182596689. Its totient is φ = 44014390560.

The previous prime is 128400388889. The next prime is 128400389027. The reversal of 128400388900 is 9883004821.

The square root of 128400388900 is 358330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46224140004 + 82176248896 = 214998^2 + 286664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25080541 + ... + 25085659.

Almost surely, 2^128400388900 is an apocalyptic number.

128400388900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128400388900 is the 358330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128400388900

128400388900 is an abundant number, since it is smaller than the sum of its proper divisors (195782207789).

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

128400388900 is an frugal number, since it uses more digits than its factorization.

128400388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 128400388900 in words is "one hundred twenty-eight billion, four hundred million, three hundred eighty-eight thousand, nine hundred".