40201800 has 48 divisors (see below), whose sum is σ = 124627440. Its totient is φ = 10720320.

The previous prime is 40201717. The next prime is 40201813. The reversal of 40201800 is 810204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40201800.

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, 32902 + ... + 34101.

It is an arithmetic number, because the mean of its divisors is an integer number (2596405).

Almost surely, 2^40201800 is an apocalyptic number.

40201800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40201800 is an abundant number, since it is smaller than the sum of its proper divisors (84425640).

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

40201800 is a wasteful number, since it uses less digits than its factorization.

40201800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67022 (or 67013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 40201800 is about 6340.4889401370. The cubic root of 40201800 is about 342.5693467837.

The spelling of 40201800 in words is "forty million, two hundred one thousand, eight hundred".