6412441998400 has 567 divisors, whose sum is σ = 17084551960749. Its totient is φ = 2368755486720.

The previous prime is 6412441998383. The next prime is 6412441998407. The reversal of 6412441998400 is 48991442146.

The square root of 6412441998400 is 2532280.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1202215759936 + 5210226238464 = 1096456^2 + 2282592^2 .

It is a super-2 number, since 2×6412441998400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6412441998407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108685457571 + ... + 108685457629.

Almost surely, 2^{6412441998400} is an apocalyptic number.

6412441998400 is the 2532280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412441998400

6412441998400 is an abundant number, since it is smaller than the sum of its proper divisors (10672109962349).

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

6412441998400 is an equidigital number, since it uses as much as digits as its factorization.

6412441998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 6412441998400 in words is "six trillion, four hundred twelve billion, four hundred forty-one million, nine hundred ninety-eight thousand, four hundred".