40083568000 has 768 divisors, whose sum is σ = 125707982400. Its totient is φ = 12644352000.

The previous prime is 40083567991. The next prime is 40083568001. The reversal of 40083568000 is 86538004.

It is a super-2 number, since 2×40083568000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40083568001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 932175979 + ... + 932176021.

Almost surely, 2^40083568000 is an apocalyptic number.

40083568000 is a gapful number since it is divisible by the number (40) 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 40083568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853991200).

40083568000 is an abundant number, since it is smaller than the sum of its proper divisors (85624414400).

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

40083568000 is a wasteful number, since it uses less digits than its factorization.

40083568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 40083568000 in words is "forty billion, eighty-three million, five hundred sixty-eight thousand".