44300422400344 has 64 divisors (see below), whose sum is σ = 90910860468480. Its totient is φ = 20070704976000.

The previous prime is 44300422400293. The next prime is 44300422400389.

44300422400344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44300422400344² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 698481754 + ... + 698545174.

It is an arithmetic number, because the mean of its divisors is an integer number (1420482194820).

Almost surely, 2^{44300422400344} is an apocalyptic number.

44300422400344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44300422400344 is an abundant number, since it is smaller than the sum of its proper divisors (46610438068136).

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

44300422400344 is a wasteful number, since it uses less digits than its factorization.

44300422400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89272 (or 89268 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4430042 and 2400344, that added together give a palindrome (6830386).

The spelling of 44300422400344 in words is "forty-four trillion, three hundred billion, four hundred twenty-two million, four hundred thousand, three hundred forty-four".