44274035520 has 1008 divisors, whose sum is σ = 187032016080. Its totient is φ = 9537454080.

The previous prime is 44274035513. The next prime is 44274035537. The reversal of 44274035520 is 2553047244.

44274035520 is a `hidden beast` number, since 44 + 27 + 40 + 3 + 552 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5901926976 + 38372108544 = 76824^2 + 195888^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131376792 + ... + 131377128.

It is an arithmetic number, because the mean of its divisors is an integer number (185547635).

Almost surely, 2^44274035520 is an apocalyptic number.

44274035520 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 44274035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93516008040).

44274035520 is an abundant number, since it is smaller than the sum of its proper divisors (142757980560).

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

44274035520 is a wasteful number, since it uses less digits than its factorization.

44274035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 44274035520 in words is "forty-four billion, two hundred seventy-four million, thirty-five thousand, five hundred twenty".