40133933568 has 80 divisors (see below), whose sum is σ = 118799271360. Its totient is φ = 13377973248.

The previous prime is 40133933561. The next prime is 40133933573. The reversal of 40133933568 is 86533933104.

40133933568 is a `hidden beast` number, since 40 + 13 + 3 + 9 + 33 + 568 = 666.

It is a super-2 number, since 2×40133933568² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40133933561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1437780 + ... + 1465427.

It is an arithmetic number, because the mean of its divisors is an integer number (1484990892).

Almost surely, 2^40133933568 is an apocalyptic number.

40133933568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40133933568 is an abundant number, since it is smaller than the sum of its proper divisors (78665337792).

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

40133933568 is an equidigital number, since it uses as much as digits as its factorization.

40133933568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903234 (or 2903212 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 40133933568 in words is "forty billion, one hundred thirty-three million, nine hundred thirty-three thousand, five hundred sixty-eight".