6232412390400 has 891 divisors, whose sum is σ = 25993231782141. Its totient is φ = 1422634106880.

The previous prime is 6232412390389. The next prime is 6232412390437. The reversal of 6232412390400 is 40932142326.

The square root of 6232412390400 is 2496480.

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

6232412390400 is a `hidden beast` number, since 6 + 2 + 3 + 241 + 2 + 3 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2243668460544 + 3988743929856 = 1497888^2 + 1997184^2 .

It is a super-2 number, since 2×6232412390400² (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 an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8388172429 + ... + 8388173171.

Almost surely, 2^{6232412390400} is an apocalyptic number.

6232412390400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6232412390400 is the 2496480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6232412390400

6232412390400 is an abundant number, since it is smaller than the sum of its proper divisors (19760819391741).

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

6232412390400 is an equidigital number, since it uses as much as digits as its factorization.

6232412390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 6232412390400 by its sum of digits (36), we get a square (224366846054400 = 14978880²).

6232412390400 divided by its sum of digits (36) gives a square (173122566400 = 416080²).

The spelling of 6232412390400 in words is "six trillion, two hundred thirty-two billion, four hundred twelve million, three hundred ninety thousand, four hundred".