44413431444 has 72 divisors (see below), whose sum is σ = 119277554760. Its totient is φ = 13907642112.

The previous prime is 44413431427. The next prime is 44413431463.

44413431444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 22275562500 + 22137868944 = 149250^2 + 148788^2 .

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 = 44413431399 and 44413431408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536259 + ... + 613514.

It is an arithmetic number, because the mean of its divisors is an integer number (1656632705).

Almost surely, 2^44413431444 is an apocalyptic number.

It is an amenable number.

44413431444 is an abundant number, since it is smaller than the sum of its proper divisors (74864123316).

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

44413431444 is a wasteful number, since it uses less digits than its factorization.

44413431444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149849 (or 1149844 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 44413431444 in words is "forty-four billion, four hundred thirteen million, four hundred thirty-one thousand, four hundred forty-four".