44043761664 has 576 divisors, whose sum is σ = 154543334400. Its totient is φ = 12270403584.

The previous prime is 44043761627. The next prime is 44043761681. The reversal of 44043761664 is 46616734044.

44043761664 is a `hidden beast` number, since 440 + 43 + 7 + 6 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163731322 + ... + 163731590.

It is an arithmetic number, because the mean of its divisors is an integer number (268304400).

Almost surely, 2^44043761664 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 44043761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77271667200).

44043761664 is an abundant number, since it is smaller than the sum of its proper divisors (110499572736).

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

44043761664 is an equidigital number, since it uses as much as digits as its factorization.

44043761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 44043761664 in words is "forty-four billion, forty-three million, seven hundred sixty-one thousand, six hundred sixty-four".