44315251344 has 240 divisors, whose sum is σ = 152957960064. Its totient is φ = 11663308800.

The previous prime is 44315251339. The next prime is 44315251361.

44315251344 is nontrivially palindromic in base 10.

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 = 44315251299 and 44315251308.

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 47 ways as a sum of consecutive naturals, for example, 6823939 + ... + 6830429.

Almost surely, 2^44315251344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44315251344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76478980032).

44315251344 is an abundant number, since it is smaller than the sum of its proper divisors (108642708720).

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

44315251344 is a wasteful number, since it uses less digits than its factorization.

44315251344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7037 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 44315251344 in words is "forty-four billion, three hundred fifteen million, two hundred fifty-one thousand, three hundred forty-four".