128093090400 has 864 divisors, whose sum is σ = 541382849280. Its totient is φ = 28131840000.

The previous prime is 128093090399. The next prime is 128093090413. The reversal of 128093090400 is 4090390821.

128093090400 is a `hidden beast` number, since 1 + 2 + 80 + 93 + 0 + 90 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34608550 + ... + 34612250.

It is an arithmetic number, because the mean of its divisors is an integer number (626600520).

Almost surely, 2^128093090400 is an apocalyptic number.

128093090400 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 128093090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270691424640).

128093090400 is an abundant number, since it is smaller than the sum of its proper divisors (413289758880).

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

128093090400 is a wasteful number, since it uses less digits than its factorization.

128093090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 128093090400 in words is "one hundred twenty-eight billion, ninety-three million, ninety thousand, four hundred".