44123869056400 has 405 divisors, whose sum is σ = 131042426110947. Its totient is φ = 14233189017600.

The previous prime is 44123869056359. The next prime is 44123869056431. The reversal of 44123869056400 is 465096832144.

The square root of 44123869056400 is 6642580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1032101573776 + 43091767482624 = 1015924^2 + 6564432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15809339005 + ... + 15809341795.

Almost surely, 2^{44123869056400} is an apocalyptic number.

44123869056400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44123869056400 is the 6642580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44123869056400

44123869056400 is an abundant number, since it is smaller than the sum of its proper divisors (86918557054547).

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

44123869056400 is an equidigital number, since it uses as much as digits as its factorization.

44123869056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 44123869056400 in words is "forty-four trillion, one hundred twenty-three billion, eight hundred sixty-nine million, fifty-six thousand, four hundred".