44413220013232 has 240 divisors, whose sum is σ = 101882119127040. Its totient is φ = 18698128210944.

The previous prime is 44413220013203. The next prime is 44413220013251. The reversal of 44413220013232 is 23231002231444.

It is a super-2 number, since 2×44413220013232² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44413220013194 and 44413220013203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18559639428 + ... + 18559641820.

It is an arithmetic number, because the mean of its divisors is an integer number (424508829696).

Almost surely, 2^{44413220013232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44413220013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50941059563520).

44413220013232 is an abundant number, since it is smaller than the sum of its proper divisors (57468899113808).

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

44413220013232 is a wasteful number, since it uses less digits than its factorization.

44413220013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 44413220013232 its reverse (23231002231444), we get a palindrome (67644222244676).

The spelling of 44413220013232 in words is "forty-four trillion, four hundred thirteen billion, two hundred twenty million, thirteen thousand, two hundred thirty-two".