44740710400 has 117 divisors (see below), whose sum is σ = 111111512943. Its totient is φ = 17869209600.

The previous prime is 44740710383. The next prime is 44740710407. The reversal of 44740710400 is 401704744.

The square root of 44740710400 is 211520.

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 1316818944 + 43423891456 = 36288^2 + 208384^2 .

It is a super-3 number, since 3×44740710400³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44740710407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67686070 + ... + 67686730.

Almost surely, 2^44740710400 is an apocalyptic number.

44740710400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44740710400 is the 211520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44740710400

44740710400 is an abundant number, since it is smaller than the sum of its proper divisors (66370802543).

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

44740710400 is an frugal number, since it uses more digits than its factorization.

44740710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

Multiplying 44740710400 by its product of nonzero digits (12544), we get a square (561227471257600 = 23690240²).

The spelling of 44740710400 in words is "forty-four billion, seven hundred forty million, seven hundred ten thousand, four hundred".