44412621444 has 36 divisors (see below), whose sum is σ = 112271848780. Its totient is φ = 14803335360.

The previous prime is 44412621439. The next prime is 44412621457.

44412621444 is a `hidden beast` number, since 44 + 412 + 62 + 144 + 4 = 666.

44412621444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7428716100 + 36983905344 = 86190^2 + 192312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44412621399 and 44412621408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951402 + ... + 996990.

Almost surely, 2^44412621444 is an apocalyptic number.

It is an amenable number.

44412621444 is an abundant number, since it is smaller than the sum of its proper divisors (67859227336).

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

44412621444 is a wasteful number, since it uses less digits than its factorization.

44412621444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72660 (or 72655 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

It can be divided in two parts, 44412 and 621444, that added together give a square (665856 = 816²).

The spelling of 44412621444 in words is "forty-four billion, four hundred twelve million, six hundred twenty-one thousand, four hundred forty-four".