444800556480 has 224 divisors, whose sum is σ = 1614549496320. Its totient is φ = 101633495040.

The previous prime is 444800556449. The next prime is 444800556493. The reversal of 444800556480 is 84655008444.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22764315 + ... + 22783845.

Almost surely, 2^444800556480 is an apocalyptic number.

444800556480 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 444800556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807274748160).

444800556480 is an abundant number, since it is smaller than the sum of its proper divisors (1169748939840).

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

444800556480 is a wasteful number, since it uses less digits than its factorization.

444800556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22947 (or 22937 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 444800556480 in words is "four hundred forty-four billion, eight hundred million, five hundred fifty-six thousand, four hundred eighty".