40875256800 has 720 divisors, whose sum is σ = 172300534560. Its totient is φ = 9236643840.

The previous prime is 40875256769. The next prime is 40875256859. The reversal of 40875256800 is 865257804.

40875256800 is a `hidden beast` number, since 4 + 0 + 87 + 5 + 2 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 43998736 + ... + 43999664.

It is an arithmetic number, because the mean of its divisors is an integer number (239306298).

Almost surely, 2^40875256800 is an apocalyptic number.

40875256800 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 40875256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86150267280).

40875256800 is an abundant number, since it is smaller than the sum of its proper divisors (131425277760).

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

40875256800 is a wasteful number, since it uses less digits than its factorization.

40875256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40875256800 in words is "forty billion, eight hundred seventy-five million, two hundred fifty-six thousand, eight hundred".