3128090414400 has 3024 divisors, whose sum is σ = 14376931246080. Its totient is φ = 630689587200.

The previous prime is 3128090414399. The next prime is 3128090414429. The reversal of 3128090414400 is 44140908213.

It is a happy number.

3128090414400 is a `hidden beast` number, since 3 + 12 + 80 + 90 + 41 + 440 + 0 = 666.

It is a super-2 number, since 2×3128090414400² (a number of 26 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 53018481571 + ... + 53018481629.

Almost surely, 2^{3128090414400} is an apocalyptic number.

3128090414400 is a gapful number since it is divisible by the number (30) 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 3128090414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188465623040).

3128090414400 is an abundant number, since it is smaller than the sum of its proper divisors (11248840831680).

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

3128090414400 is a wasteful number, since it uses less digits than its factorization.

3128090414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3128090414400 in words is "three trillion, one hundred twenty-eight billion, ninety million, four hundred fourteen thousand, four hundred".