40466218464 has 768 divisors, whose sum is σ = 149256898560. Its totient is φ = 10534551552.

The previous prime is 40466218391. The next prime is 40466218477. The reversal of 40466218464 is 46481266404.

40466218464 is a `hidden beast` number, since 4 + 0 + 466 + 2 + 184 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 358108072 + ... + 358108184.

It is an arithmetic number, because the mean of its divisors is an integer number (194344920).

Almost surely, 2^40466218464 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 40466218464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74628449280).

40466218464 is an abundant number, since it is smaller than the sum of its proper divisors (108790680096).

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

40466218464 is a wasteful number, since it uses less digits than its factorization.

40466218464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 40466218464 in words is "forty billion, four hundred sixty-six million, two hundred eighteen thousand, four hundred sixty-four".