444504974400 has 168 divisors, whose sum is σ = 1620385420640. Its totient is φ = 118534648320.

The previous prime is 444504974393. The next prime is 444504974411. The reversal of 444504974400 is 4479405444.

444504974400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5101534 + ... + 5187933.

Almost surely, 2^444504974400 is an apocalyptic number.

444504974400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444504974400 is an abundant number, since it is smaller than the sum of its proper divisors (1175880446240).

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

444504974400 is a wasteful number, since it uses less digits than its factorization.

444504974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289498 (or 10289477 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 444504974400 in words is "four hundred forty-four billion, five hundred four million, nine hundred seventy-four thousand, four hundred".