4004100 has 72 divisors (see below), whose sum is σ = 12881120. Its totient is φ = 1067040.

The previous prime is 4004089. The next prime is 4004137. The reversal of 4004100 is 14004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959 + ... + 3441.

Almost surely, 2^4004100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440560).

4004100 is an abundant number, since it is smaller than the sum of its proper divisors (8877020).

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

4004100 is a wasteful number, since it uses less digits than its factorization.

4004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4004100 is about 2001.0247374783. The cubic root of 4004100 is about 158.7943228793.

Adding to 4004100 its reverse (14004), we get a palindrome (4018104).

The spelling of 4004100 in words is "four million, four thousand, one hundred".