40650660864 has 352 divisors, whose sum is σ = 133203694080. Its totient is φ = 12143001600.

The previous prime is 40650660863. The next prime is 40650660889. The reversal of 40650660864 is 46806605604.

40650660864 is a `hidden beast` number, since 4 + 0 + 6 + 506 + 60 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40650660863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22200429 + ... + 22202259.

Almost surely, 2^40650660864 is an apocalyptic number.

40650660864 is a gapful number since it is divisible by the number (44) 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 40650660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66601847040).

40650660864 is an abundant number, since it is smaller than the sum of its proper divisors (92553033216).

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

40650660864 is a wasteful number, since it uses less digits than its factorization.

40650660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40650660864 in words is "forty billion, six hundred fifty million, six hundred sixty thousand, eight hundred sixty-four".