40005574400016 has 135 divisors (see below), whose sum is σ = 112584379195197. Its totient is φ = 13261239613440.

The previous prime is 40005574399961. The next prime is 40005574400039. The reversal of 40005574400016 is 61000447550004.

The square root of 40005574400016 is 6324996.

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

40005574400016 is a `hidden beast` number, since 40 + 0 + 0 + 5 + 574 + 40 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9692885955600 + 30312688444416 = 3113340^2 + 5505696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14648689371 + ... + 14648692101.

Almost surely, 2^{40005574400016} is an apocalyptic number.

40005574400016 is the 6324996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40005574400016

40005574400016 is an abundant number, since it is smaller than the sum of its proper divisors (72578804795181).

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

40005574400016 is an frugal number, since it uses more digits than its factorization.

40005574400016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

40005574400016 divided by its sum of digits (36) gives a square (1111265955556 = 1054166²).

The spelling of 40005574400016 in words is "forty trillion, five billion, five hundred seventy-four million, four hundred thousand, sixteen".