40800900 has 72 divisors (see below), whose sum is σ = 134921920. Its totient is φ = 9325440.

The previous prime is 40800889. The next prime is 40800911. The reversal of 40800900 is 900804.

It is an interprime number because it is at equal distance from previous prime (40800889) and next prime (40800911).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7615 + ... + 11814.

Almost surely, 2^40800900 is an apocalyptic number.

It is an amenable number.

40800900 is an abundant number, since it is smaller than the sum of its proper divisors (94121020).

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

40800900 is a wasteful number, since it uses less digits than its factorization.

40800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19453 (or 19446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 40800900 is about 6387.5582189128. The cubic root of 40800900 is about 344.2626554511.

The spelling of 40800900 in words is "forty million, eight hundred thousand, nine hundred".