40085560824192 has 512 divisors, whose sum is σ = 138440784384000. Its totient is φ = 11307921408000.

The previous prime is 40085560824163. The next prime is 40085560824217. The reversal of 40085560824192 is 29142806558004.

40085560824192 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 5 + 5 + 608 + 24 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25705192 + ... + 27219992.

It is an arithmetic number, because the mean of its divisors is an integer number (270392157000).

Almost surely, 2^{40085560824192} 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 40085560824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69220392192000).

40085560824192 is an abundant number, since it is smaller than the sum of its proper divisors (98355223559808).

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

40085560824192 is a wasteful number, since it uses less digits than its factorization.

40085560824192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514887 (or 1514869 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 40085560824192 in words is "forty trillion, eighty-five billion, five hundred sixty million, eight hundred twenty-four thousand, one hundred ninety-two".