40117131460224 has 2016 divisors, whose sum is σ = 152283125522700. Its totient is φ = 10486393602048.

The previous prime is 40117131460207. The next prime is 40117131460247. The reversal of 40117131460224 is 42206413171104.

40117131460224 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 7 + 13 + 14 + 602 + 24 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 514382400 + 40116617077824 = 22680^2 + 6333768^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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 251 ways as a sum of consecutive naturals, for example, 149134317562 + ... + 149134317830.

Almost surely, 2^{40117131460224} 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 40117131460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76141562761350).

40117131460224 is an abundant number, since it is smaller than the sum of its proper divisors (112165994062476).

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

40117131460224 is a wasteful number, since it uses less digits than its factorization.

40117131460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40117131460224 in words is "forty trillion, one hundred seventeen billion, one hundred thirty-one million, four hundred sixty thousand, two hundred twenty-four".