4224202400 has 72 divisors (see below), whose sum is σ = 11249842464. Its totient is φ = 1536070400.

The previous prime is 4224202397. The next prime is 4224202441. The reversal of 4224202400 is 42024224.

4224202400 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231212 + ... + 248811.

It is an arithmetic number, because the mean of its divisors is an integer number (156247812).

Almost surely, 2^4224202400 is an apocalyptic number.

4224202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224202400 is an abundant number, since it is smaller than the sum of its proper divisors (7025640064).

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

4224202400 is a wasteful number, since it uses less digits than its factorization.

4224202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480054 (or 480041 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4224202400 is about 64993.8643257962. The cubic root of 4224202400 is about 1616.5218268700.

Adding to 4224202400 its reverse (42024224), we get a palindrome (4266226624).

The spelling of 4224202400 in words is "four billion, two hundred twenty-four million, two hundred two thousand, four hundred".