40786887168 has 240 divisors, whose sum is σ = 124585032000. Its totient is φ = 12809871360.

The previous prime is 40786887151. The next prime is 40786887173. The reversal of 40786887168 is 86178868704.

40786887168 is a `hidden beast` number, since 407 + 8 + 68 + 8 + 7 + 168 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17421678 + ... + 17424018.

It is an arithmetic number, because the mean of its divisors is an integer number (519104300).

Almost surely, 2^40786887168 is an apocalyptic number.

40786887168 is a gapful number since it is divisible by the number (48) 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 40786887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62292516000).

40786887168 is an abundant number, since it is smaller than the sum of its proper divisors (83798144832).

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

40786887168 is a wasteful number, since it uses less digits than its factorization.

40786887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 40786887168 in words is "forty billion, seven hundred eighty-six million, eight hundred eighty-seven thousand, one hundred sixty-eight".