44035261344 has 72 divisors (see below), whose sum is σ = 125285624100. Its totient is φ = 14671346688.

The previous prime is 44035261339. The next prime is 44035261357. The reversal of 44035261344 is 44316253044.

44035261344 is a `hidden beast` number, since 4 + 4 + 0 + 35 + 2 + 613 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33510963600 + 10524297744 = 183060^2 + 102588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 44035261299 and 44035261308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579682 + ... + 651230.

Almost surely, 2^44035261344 is an apocalyptic number.

It is an amenable number.

44035261344 is an abundant number, since it is smaller than the sum of its proper divisors (81250362756).

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

44035261344 is a wasteful number, since it uses less digits than its factorization.

44035261344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73702 (or 73691 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 44035261344 in words is "forty-four billion, thirty-five million, two hundred sixty-one thousand, three hundred forty-four".