4204100400 has 120 divisors (see below), whose sum is σ = 13523945424. Its totient is φ = 1116364800.

The previous prime is 4204100347. The next prime is 4204100423. The reversal of 4204100400 is 40014024.

It is a tau number, because it is divible by the number of its divisors (120).

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 4204100400.

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, 281932 + ... + 296468.

Almost surely, 2^4204100400 is an apocalyptic number.

4204100400 is a gapful number since it is divisible by the number (40) 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 4204100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761972712).

4204100400 is an abundant number, since it is smaller than the sum of its proper divisors (9319845024).

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

4204100400 is a wasteful number, since it uses less digits than its factorization.

4204100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14799 (or 14788 counting only the distinct ones).

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

The square root of 4204100400 is about 64839.0345393884. The cubic root of 4204100400 is about 1613.9535310284.

Adding to 4204100400 its reverse (40014024), we get a palindrome (4244114424).

The spelling of 4204100400 in words is "four billion, two hundred four million, one hundred thousand, four hundred".