4004200400 has 120 divisors (see below), whose sum is σ = 10242630144. Its totient is φ = 1499084800.

The previous prime is 4004200397. The next prime is 4004200427. The reversal of 4004200400 is 40024004.

It is a congruent number.

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, 1297259 + ... + 1300341.

Almost surely, 2^4004200400 is an apocalyptic number.

4004200400 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 4004200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121315072).

4004200400 is an abundant number, since it is smaller than the sum of its proper divisors (6238429744).

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

4004200400 is a wasteful number, since it uses less digits than its factorization.

4004200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4004200400 is about 63278.7515679632. The cubic root of 4004200400 is about 1587.9565008695.

Adding to 4004200400 its reverse (40024004), we get a palindrome (4044224404).

The spelling of 4004200400 in words is "four billion, four million, two hundred thousand, four hundred".