44145934560 has 1728 divisors, whose sum is σ = 211754088000. Its totient is φ = 8249278464.

The previous prime is 44145934549. The next prime is 44145934601. The reversal of 44145934560 is 6543954144.

44145934560 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 59 + 34 + 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 296281366 + ... + 296281514.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 2^44145934560 is an apocalyptic number.

44145934560 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 44145934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105877044000).

44145934560 is an abundant number, since it is smaller than the sum of its proper divisors (167608153440).

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

44145934560 is a wasteful number, since it uses less digits than its factorization.

44145934560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 44145934560 in words is "forty-four billion, one hundred forty-five million, nine hundred thirty-four thousand, five hundred sixty".