40086246816 has 1080 divisors, whose sum is σ = 161081917920. Its totient is φ = 9545817600.

The previous prime is 40086246803. The next prime is 40086246821. The reversal of 40086246816 is 61864268004.

40086246816 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 624 + 6 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1293104721 + ... + 1293104751.

It is an arithmetic number, because the mean of its divisors is an integer number (149149924).

Almost surely, 2^40086246816 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 40086246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80540958960).

40086246816 is an abundant number, since it is smaller than the sum of its proper divisors (120995671104).

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

40086246816 is a wasteful number, since it uses less digits than its factorization.

40086246816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 40086246816 in words is "forty billion, eighty-six million, two hundred forty-six thousand, eight hundred sixteen".