40200204 has 48 divisors (see below), whose sum is σ = 105106176. Its totient is φ = 11851200.

The previous prime is 40200203. The next prime is 40200253.

40200204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 40200204.

It is not an unprimeable number, because it can be changed into a prime (40200203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769 + ... + 8999.

It is an arithmetic number, because the mean of its divisors is an integer number (2189712).

Almost surely, 2^40200204 is an apocalyptic number.

40200204 is a gapful number since it is divisible by the number (44) 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 40200204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553088).

40200204 is an abundant number, since it is smaller than the sum of its proper divisors (64905972).

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

40200204 is a wasteful number, since it uses less digits than its factorization.

40200204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40200204 is about 6340.3630810861. The cubic root of 40200204 is about 342.5648134219.

It can be divided in two parts, 40200 and 204, that added together give a palindrome (40404).

The spelling of 40200204 in words is "forty million, two hundred thousand, two hundred four".