44414016400 has 120 divisors (see below), whose sum is σ = 121672540584. Its totient is φ = 15434342400.

The previous prime is 44414016391. The next prime is 44414016407. The reversal of 44414016400 is 461041444.

It can be written as a sum of positive squares in 12 ways, for example, as 19480343184 + 24933673216 = 139572^2 + 157904^2 .

It is not an unprimeable number, because it can be changed into a prime (44414016407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162811 + ... + 339610.

Almost surely, 2^44414016400 is an apocalyptic number.

44414016400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44414016400 is an abundant number, since it is smaller than the sum of its proper divisors (77258524184).

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

44414016400 is a wasteful number, since it uses less digits than its factorization.

44414016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502469 (or 502458 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 44414016400 its reverse (461041444), we get a palindrome (44875057844).

The spelling of 44414016400 in words is "forty-four billion, four hundred fourteen million, sixteen thousand, four hundred".