4200400224 has 72 divisors (see below), whose sum is σ = 12573582840. Its totient is φ = 1326440448.

The previous prime is 4200400213. The next prime is 4200400249. The reversal of 4200400224 is 4220040024.

4200400224 is a `hidden beast` number, since 42 + 0 + 0 + 400 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4200400197 and 4200400206.

It is a congruent number.

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, 378337 + ... + 389280.

It is an arithmetic number, because the mean of its divisors is an integer number (174633095).

Almost surely, 2^4200400224 is an apocalyptic number.

It is an amenable number.

4200400224 is an abundant number, since it is smaller than the sum of its proper divisors (8373182616).

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

4200400224 is a wasteful number, since it uses less digits than its factorization.

4200400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767652 (or 767641 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4200400224 is about 64810.4947057188. The cubic root of 4200400224 is about 1613.4798930370.

Adding to 4200400224 its reverse (4220040024), we get a palindrome (8420440248).

The spelling of 4200400224 in words is "four billion, two hundred million, four hundred thousand, two hundred twenty-four".