4202200400 has 120 divisors (see below), whose sum is σ = 10333133280. Its totient is φ = 1641669120.

The previous prime is 4202200399. The next prime is 4202200439. The reversal of 4202200400 is 40022024.

It is a happy number.

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, 8034539 + ... + 8035061.

It is an arithmetic number, because the mean of its divisors is an integer number (86109444).

Almost surely, 2^4202200400 is an apocalyptic number.

4202200400 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 4202200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166566640).

4202200400 is an abundant number, since it is smaller than the sum of its proper divisors (6130932880).

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

4202200400 is a wasteful number, since it uses less digits than its factorization.

4202200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 962 counting only the distinct ones).

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

The square root of 4202200400 is about 64824.3812157123. The cubic root of 4202200400 is about 1613.7103578171.

Adding to 4202200400 its reverse (40022024), we get a palindrome (4242222424).

The spelling of 4202200400 in words is "four billion, two hundred two million, two hundred thousand, four hundred".