44335022053344 has 96 divisors (see below), whose sum is σ = 126974682535680. Its totient is φ = 13433235993600.

The previous prime is 44335022053337. The next prime is 44335022053349.

44335022053344 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 44335022053296 and 44335022053305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44335022053349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6250612 + ... + 11302220.

It is an arithmetic number, because the mean of its divisors is an integer number (1322652943080).

Almost surely, 2^{44335022053344} is an apocalyptic number.

44335022053344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44335022053344 is an abundant number, since it is smaller than the sum of its proper divisors (82639660482336).

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

44335022053344 is a wasteful number, since it uses less digits than its factorization.

44335022053344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059944 (or 5059936 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 4433502 and 2053344, that added together give a palindrome (6486846).

The spelling of 44335022053344 in words is "forty-four trillion, three hundred thirty-five billion, twenty-two million, fifty-three thousand, three hundred forty-four".