40116566044800 has 768 divisors, whose sum is σ = 171359232307200. Its totient is φ = 8974398689280.

The previous prime is 40116566044783. The next prime is 40116566044817. The reversal of 40116566044800 is 844066561104.

40116566044800 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 6 + 566 + 0 + 4 + 4 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40116566044783) and next prime (40116566044817).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27719959 + ... + 29131241.

It is an arithmetic number, because the mean of its divisors is an integer number (223124000400).

Almost surely, 2^{40116566044800} is an apocalyptic number.

40116566044800 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 40116566044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85679616153600).

40116566044800 is an abundant number, since it is smaller than the sum of its proper divisors (131242666262400).

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

40116566044800 is a wasteful number, since it uses less digits than its factorization.

40116566044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411370 (or 1411347 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40116566044800 in words is "forty trillion, one hundred sixteen billion, five hundred sixty-six million, forty-four thousand, eight hundred".