445402316800 has 684 divisors, whose sum is σ = 1371094390920. Its totient is φ = 142690222080.

The previous prime is 445402316753. The next prime is 445402316831. The reversal of 445402316800 is 8613204544.

It is a self number, because there is not a number n which added to its sum of digits gives 445402316800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6101401564 + ... + 6101401636.

Almost surely, 2^445402316800 is an apocalyptic number.

445402316800 is a gapful number since it is divisible by the number (40) 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 445402316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685547195460).

445402316800 is an abundant number, since it is smaller than the sum of its proper divisors (925692074120).

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

445402316800 is an frugal number, since it uses more digits than its factorization.

445402316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 445402316800 in words is "four hundred forty-five billion, four hundred two million, three hundred sixteen thousand, eight hundred".