40044099116160 has 256 divisors, whose sum is σ = 141895737360000. Its totient is φ = 10672938528768.

The previous prime is 40044099116123. The next prime is 40044099116191. The reversal of 40044099116160 is 6161199044004.

40044099116160 is a `hidden beast` number, since 4 + 0 + 0 + 440 + 9 + 91 + 1 + 61 + 60 = 666.

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 31 ways as a sum of consecutive naturals, for example, 33084219 + ... + 34273221.

Almost surely, 2^{40044099116160} is an apocalyptic number.

40044099116160 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 40044099116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70947868680000).

40044099116160 is an abundant number, since it is smaller than the sum of its proper divisors (101851638243840).

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

40044099116160 is a wasteful number, since it uses less digits than its factorization.

40044099116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190980 (or 1190962 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 40044099116160 in words is "forty trillion, forty-four billion, ninety-nine million, one hundred sixteen thousand, one hundred sixty".