44460333306444 has 96 divisors (see below), whose sum is σ = 113992535704320. Its totient is φ = 13375127808000.

The previous prime is 44460333306421. The next prime is 44460333306457.

44460333306444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44460333306444² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44460333306393 and 44460333306402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370587972 + ... + 370707924.

It is an arithmetic number, because the mean of its divisors is an integer number (1187422246920).

Almost surely, 2^{44460333306444} is an apocalyptic number.

44460333306444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44460333306444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996267852160).

44460333306444 is an abundant number, since it is smaller than the sum of its proper divisors (69532202397876).

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

44460333306444 is a wasteful number, since it uses less digits than its factorization.

44460333306444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140311 (or 140309 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

The spelling of 44460333306444 in words is "forty-four trillion, four hundred sixty billion, three hundred thirty-three million, three hundred six thousand, four hundred forty-four".