1288900128400 has 30 divisors (see below), whose sum is σ = 3096582559442. Its totient is φ = 515560051200.

The previous prime is 1288900128343. The next prime is 1288900128401. The reversal of 1288900128400 is 48210098821.

It can be written as a sum of positive squares in 3 ways, for example, as 199197971856 + 1089702156544 = 446316^2 + 1043888^2 .

It is a super-2 number, since 2×1288900128400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1288900128401) 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, 1611124761 + ... + 1611125560.

Almost surely, 2^{1288900128400} is an apocalyptic number.

1288900128400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288900128400 is an abundant number, since it is smaller than the sum of its proper divisors (1807682431042).

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

1288900128400 is a wasteful number, since it uses less digits than its factorization.

1288900128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222250339 (or 3222250328 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 1288900128400 in words is "one trillion, two hundred eighty-eight billion, nine hundred million, one hundred twenty-eight thousand, four hundred".