44025982560 has 864 divisors, whose sum is σ = 187150279680. Its totient is φ = 9396559872.

The previous prime is 44025982549. The next prime is 44025982603. The reversal of 44025982560 is 6528952044.

44025982560 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 5 + 9 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 346661217 + ... + 346661343.

It is an arithmetic number, because the mean of its divisors is an integer number (216609120).

Almost surely, 2^44025982560 is an apocalyptic number.

44025982560 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 44025982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93575139840).

44025982560 is an abundant number, since it is smaller than the sum of its proper divisors (143124297120).

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

44025982560 is a wasteful number, since it uses less digits than its factorization.

44025982560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 44025982560 in words is "forty-four billion, twenty-five million, nine hundred eighty-two thousand, five hundred sixty".