40039999560000 has 1680 divisors, whose sum is σ = 162988204579200. Its totient is φ = 9305856000000.

The previous prime is 40039999559921. The next prime is 40039999560013. The reversal of 40039999560000 is 6599993004.

40039999560000 is a `hidden beast` number, since 40 + 0 + 39 + 9 + 9 + 9 + 560 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17340838846 + ... + 17340841154.

It is an arithmetic number, because the mean of its divisors is an integer number (97016788440).

Almost surely, 2^{40039999560000} is an apocalyptic number.

40039999560000 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 40039999560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81494102289600).

40039999560000 is an abundant number, since it is smaller than the sum of its proper divisors (122948205019200).

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

40039999560000 is a wasteful number, since it uses less digits than its factorization.

40039999560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 40039999560000 in words is "forty trillion, thirty-nine billion, nine hundred ninety-nine million, five hundred sixty thousand".