40876800 has 108 divisors (see below), whose sum is σ = 134965320. Its totient is φ = 10895360.

The previous prime is 40876799. The next prime is 40876831. The reversal of 40876800 is 867804.

40876800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18136 + ... + 20264.

Almost surely, 2^40876800 is an apocalyptic number.

40876800 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 40876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67482660).

40876800 is an abundant number, since it is smaller than the sum of its proper divisors (94088520).

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

40876800 is a wasteful number, since it uses less digits than its factorization.

40876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 40876800 is about 6393.4966958621. The cubic root of 40876800 is about 344.4759951058.

The spelling of 40876800 in words is "forty million, eight hundred seventy-six thousand, eight hundred".