40964800 has 42 divisors (see below), whose sum is σ = 100802948. Its totient is φ = 16385280.

The previous prime is 40964789. The next prime is 40964867. The reversal of 40964800 is 846904.

It is a super-2 number, since 2×40964800² = 3356229678080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11202 + ... + 14401.

Almost surely, 2^40964800 is an apocalyptic number.

40964800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40964800 is an abundant number, since it is smaller than the sum of its proper divisors (59838148).

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

40964800 is a wasteful number, since it uses less digits than its factorization.

40964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25625 (or 25610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 40964800 is about 6400.3749890143. The cubic root of 40964800 is about 344.7230150960.

The spelling of 40964800 in words is "forty million, nine hundred sixty-four thousand, eight hundred".