44004404444400 has 150 divisors (see below), whose sum is σ = 157928276449592. Its totient is φ = 11734507843200.

The previous prime is 44004404444381. The next prime is 44004404444461. The reversal of 44004404444400 is 444440440044.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×44004404444400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 679047916 + ... + 679112715.

Almost surely, 2^{44004404444400} is an apocalyptic number.

44004404444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44004404444400 is an abundant number, since it is smaller than the sum of its proper divisors (113923872005192).

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

44004404444400 is a wasteful number, since it uses less digits than its factorization.

44004404444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358160661 (or 1358160641 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44004404444400 its reverse (444440440044), we get a palindrome (44448844884444).

The spelling of 44004404444400 in words is "forty-four trillion, four billion, four hundred four million, four hundred forty-four thousand, four hundred".