40444664790544 has 225 divisors, whose sum is σ = 92925380566221. Its totient is φ = 17051900463360.

The previous prime is 40444664790511. The next prime is 40444664790553. The reversal of 40444664790544 is 44509746644404.

The square root of 40444664790544 is 6359612.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34978944490000 + 5465720300544 = 5914300^2 + 2337888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88500360364 + ... + 88500360820.

Almost surely, 2^{40444664790544} is an apocalyptic number.

40444664790544 is the 6359612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444664790544

40444664790544 is an abundant number, since it is smaller than the sum of its proper divisors (52480715775677).

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

40444664790544 is an frugal number, since it uses more digits than its factorization.

40444664790544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 61.

The spelling of 40444664790544 in words is "forty trillion, four hundred forty-four billion, six hundred sixty-four million, seven hundred ninety thousand, five hundred forty-four".