440000224444480 has 112 divisors (see below), whose sum is σ = 1197437981040000. Its totient is φ = 150856111300608.

The previous prime is 440000224444477. The next prime is 440000224444493. The reversal of 440000224444480 is 84444422000044.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×440000224444480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340109896 + ... + 341401144.

It is an arithmetic number, because the mean of its divisors is an integer number (10691410545000).

Almost surely, 2^{440000224444480} is an apocalyptic number.

440000224444480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440000224444480 is an abundant number, since it is smaller than the sum of its proper divisors (757437756595520).

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

440000224444480 is a wasteful number, since it uses less digits than its factorization.

440000224444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443396 (or 1443386 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

The spelling of 440000224444480 in words is "four hundred forty trillion, two hundred twenty-four million, four hundred forty-four thousand, four hundred eighty".