44314422400 has 48 divisors (see below), whose sum is σ = 109470479490. Its totient is φ = 17725767680.

The previous prime is 44314422371. The next prime is 44314422517. The reversal of 44314422400 is 422441344.

It can be written as a sum of positive squares in 3 ways, for example, as 42643902016 + 1670520384 = 206504^2 + 40872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6920929 + ... + 6927328.

Almost surely, 2^44314422400 is an apocalyptic number.

44314422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44314422400 is an abundant number, since it is smaller than the sum of its proper divisors (65156057090).

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

44314422400 is a wasteful number, since it uses less digits than its factorization.

44314422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848281 (or 13848264 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 44314422400 its reverse (422441344), we get a palindrome (44736863744).

The spelling of 44314422400 in words is "forty-four billion, three hundred fourteen million, four hundred twenty-two thousand, four hundred".