44421355312444 has 96 divisors (see below), whose sum is σ = 96716956089600. Its totient is φ = 17584900623360.

The previous prime is 44421355312429. The next prime is 44421355312513.

44421355312444 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×44421355312444⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 44421355312394 and 44421355312403.

It is a congruent number.

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, 35733339 + ... + 36955570.

It is an arithmetic number, because the mean of its divisors is an integer number (1007468292600).

Almost surely, 2^{44421355312444} is an apocalyptic number.

44421355312444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44421355312444 is an abundant number, since it is smaller than the sum of its proper divisors (52295600777156).

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

44421355312444 is a wasteful number, since it uses less digits than its factorization.

44421355312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72689003 (or 72689001 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4442135 and 5312444, that added together give a palindrome (9754579).

The spelling of 44421355312444 in words is "forty-four trillion, four hundred twenty-one billion, three hundred fifty-five million, three hundred twelve thousand, four hundred forty-four".