40052412088000 has 448 divisors, whose sum is σ = 110192497204608. Its totient is φ = 14325191884800.

The previous prime is 40052412087997. The next prime is 40052412088027. The reversal of 40052412088000 is 88021425004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873473074 + ... + 873518926.

It is an arithmetic number, because the mean of its divisors is an integer number (245965395546).

Almost surely, 2^{40052412088000} is an apocalyptic number.

40052412088000 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 40052412088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55096248602304).

40052412088000 is an abundant number, since it is smaller than the sum of its proper divisors (70140085116608).

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

40052412088000 is a wasteful number, since it uses less digits than its factorization.

40052412088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46157 (or 46137 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 40052412088000 in words is "forty trillion, fifty-two billion, four hundred twelve million, eighty-eight thousand".