44456623056400 has 135 divisors (see below), whose sum is σ = 109362792096999. Its totient is φ = 17366858933760.

The previous prime is 44456623056367. The next prime is 44456623056409. The reversal of 44456623056400 is 465032665444.

The square root of 44456623056400 is 6667580.

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 13162354976016 + 31294268080384 = 3627996^2 + 5594128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44456623056409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5734114924 + ... + 5734122676.

Almost surely, 2^{44456623056400} is an apocalyptic number.

44456623056400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44456623056400 is the 6667580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44456623056400

44456623056400 is an abundant number, since it is smaller than the sum of its proper divisors (64906169040599).

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

44456623056400 is an frugal number, since it uses more digits than its factorization.

44456623056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15610 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 49.

The spelling of 44456623056400 in words is "forty-four trillion, four hundred fifty-six billion, six hundred twenty-three million, fifty-six thousand, four hundred".