40133086080 has 256 divisors, whose sum is σ = 136610150400. Its totient is φ = 9999360000.

The previous prime is 40133086057. The next prime is 40133086121. The reversal of 40133086080 is 8068033104.

It is a super-2 number, since 2×40133086080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714455 + ... + 1737705.

It is an arithmetic number, because the mean of its divisors is an integer number (533633400).

Almost surely, 2^40133086080 is an apocalyptic number.

40133086080 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 40133086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68305075200).

40133086080 is an abundant number, since it is smaller than the sum of its proper divisors (96477064320).

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

40133086080 is a wasteful number, since it uses less digits than its factorization.

40133086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23333 (or 23321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 40133086080 in words is "forty billion, one hundred thirty-three million, eighty-six thousand, eighty".