40864065840 has 280 divisors, whose sum is σ = 153408670800. Its totient is φ = 10058660352.

The previous prime is 40864065839. The next prime is 40864065857. The reversal of 40864065840 is 4856046804.

40864065840 is a `hidden beast` number, since 4 + 0 + 8 + 64 + 0 + 6 + 584 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 731211 + ... + 785109.

It is an arithmetic number, because the mean of its divisors is an integer number (547888110).

Almost surely, 2^40864065840 is an apocalyptic number.

40864065840 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 40864065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76704335400).

40864065840 is an abundant number, since it is smaller than the sum of its proper divisors (112544604960).

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

40864065840 is a wasteful number, since it uses less digits than its factorization.

40864065840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53943 (or 53922 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 40864065840 in words is "forty billion, eight hundred sixty-four million, sixty-five thousand, eight hundred forty".