4004140200 has 96 divisors (see below), whose sum is σ = 12840919200. Its totient is φ = 1030946560.

The previous prime is 4004140181. The next prime is 4004140207. The reversal of 4004140200 is 20414004.

4004140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4004140200.

It is not an unprimeable number, because it can be changed into a prime (4004140207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97662 + ... + 132461.

It is an arithmetic number, because the mean of its divisors is an integer number (133759575).

Almost surely, 2^4004140200 is an apocalyptic number.

4004140200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004140200 is an abundant number, since it is smaller than the sum of its proper divisors (8836779000).

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

4004140200 is a wasteful number, since it uses less digits than its factorization.

4004140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230171 (or 230162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4004140200 is about 63278.2758930741. The cubic root of 4004140200 is about 1587.9485429377.

Adding to 4004140200 its reverse (20414004), we get a palindrome (4024554204).

The spelling of 4004140200 in words is "four billion, four million, one hundred forty thousand, two hundred".