40250800800 has 576 divisors, whose sum is σ = 175138790400. Its totient is φ = 8715340800.

The previous prime is 40250800783. The next prime is 40250800813. The reversal of 40250800800 is 800805204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2865795 + ... + 2879805.

It is an arithmetic number, because the mean of its divisors is an integer number (304060400).

Almost surely, 2^40250800800 is an apocalyptic number.

40250800800 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 40250800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87569395200).

40250800800 is an abundant number, since it is smaller than the sum of its proper divisors (134887989600).

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

40250800800 is a wasteful number, since it uses less digits than its factorization.

40250800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14066 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 40250800800 in words is "forty billion, two hundred fifty million, eight hundred thousand, eight hundred".