44104513440 has 768 divisors, whose sum is σ = 162505211904. Its totient is φ = 9975398400.

The previous prime is 44104513433. The next prime is 44104513457. The reversal of 44104513440 is 4431540144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44104513398 and 44104513407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 531379639 + ... + 531379721.

It is an arithmetic number, because the mean of its divisors is an integer number (211595328).

Almost surely, 2^44104513440 is an apocalyptic number.

44104513440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44104513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81252605952).

44104513440 is an abundant number, since it is smaller than the sum of its proper divisors (118400698464).

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

44104513440 is a wasteful number, since it uses less digits than its factorization.

44104513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 44104513440 in words is "forty-four billion, one hundred four million, five hundred thirteen thousand, four hundred forty".