6128934530400 has 2592 divisors, whose sum is σ = 26642802251520. Its totient is φ = 1360488960000.

The previous prime is 6128934530393. The next prime is 6128934530413. The reversal of 6128934530400 is 40354398216.

6128934530400 is a `hidden beast` number, since 6 + 1 + 2 + 89 + 34 + 530 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 40588970325 + ... + 40588970475.

Almost surely, 2^{6128934530400} is an apocalyptic number.

6128934530400 is a gapful number since it is divisible by the number (60) 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 6128934530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321401125760).

6128934530400 is an abundant number, since it is smaller than the sum of its proper divisors (20513867721120).

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

6128934530400 is a wasteful number, since it uses less digits than its factorization.

6128934530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6128934530400 in words is "six trillion, one hundred twenty-eight billion, nine hundred thirty-four million, five hundred thirty thousand, four hundred".