40560218496 has 384 divisors, whose sum is σ = 138739910400. Its totient is φ = 11128320000.

The previous prime is 40560218449. The next prime is 40560218521. The reversal of 40560218496 is 69481206504.

40560218496 is a `hidden beast` number, since 4 + 0 + 560 + 2 + 1 + 84 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58697511 + ... + 58698201.

It is an arithmetic number, because the mean of its divisors is an integer number (361301850).

Almost surely, 2^40560218496 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 40560218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69369955200).

40560218496 is an abundant number, since it is smaller than the sum of its proper divisors (98179691904).

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

40560218496 is a wasteful number, since it uses less digits than its factorization.

40560218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40560218496 in words is "forty billion, five hundred sixty million, two hundred eighteen thousand, four hundred ninety-six".