40668800 has 96 divisors (see below), whose sum is σ = 102448800. Its totient is φ = 15948800.

The previous prime is 40668781. The next prime is 40668821. The reversal of 40668800 is 886604.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227111 + ... + 227289.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^40668800 is an apocalyptic number.

40668800 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 40668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51224400).

40668800 is an abundant number, since it is smaller than the sum of its proper divisors (61780000).

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

40668800 is a wasteful number, since it uses less digits than its factorization.

40668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 40668800 is about 6377.2094210556. The cubic root of 40668800 is about 343.8907170440.

The spelling of 40668800 in words is "forty million, six hundred sixty-eight thousand, eight hundred".