40418564832 has 288 divisors, whose sum is σ = 122510868480. Its totient is φ = 12619514880.

The previous prime is 40418564827. The next prime is 40418564833. The reversal of 40418564832 is 23846581404.

40418564832 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 8 + 564 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40418564833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48755394 + ... + 48756222.

It is an arithmetic number, because the mean of its divisors is an integer number (425384960).

Almost surely, 2^40418564832 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 40418564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61255434240).

40418564832 is an abundant number, since it is smaller than the sum of its proper divisors (82092303648).

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

40418564832 is a wasteful number, since it uses less digits than its factorization.

40418564832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1035 counting only the distinct ones).

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

The spelling of 40418564832 in words is "forty billion, four hundred eighteen million, five hundred sixty-four thousand, eight hundred thirty-two".