6446404244400 has 60 divisors (see below), whose sum is σ = 20649981600072. Its totient is φ = 1719041131520.

The previous prime is 6446404244393. The next prime is 6446404244429. The reversal of 6446404244400 is 44424046446.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×6446404244400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2686000569 + ... + 2686002968.

Almost surely, 2^{6446404244400} is an apocalyptic number.

6446404244400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6446404244400 is an abundant number, since it is smaller than the sum of its proper divisors (14203577355672).

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

6446404244400 is a wasteful number, since it uses less digits than its factorization.

6446404244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372003558 (or 5372003547 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

The spelling of 6446404244400 in words is "six trillion, four hundred forty-six billion, four hundred four million, two hundred forty-four thousand, four hundred".