4202204400 has 240 divisors, whose sum is σ = 15473637600. Its totient is φ = 1081866240.

The previous prime is 4202204399. The next prime is 4202204437. The reversal of 4202204400 is 44022024.

4202204400 is a `hidden beast` number, since 4 + 2 + 0 + 220 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306492 + ... + 319908.

It is an arithmetic number, because the mean of its divisors is an integer number (64473490).

Almost surely, 2^4202204400 is an apocalyptic number.

4202204400 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 4202204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736818800).

4202204400 is an abundant number, since it is smaller than the sum of its proper divisors (11271433200).

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

4202204400 is a wasteful number, since it uses less digits than its factorization.

4202204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13473 (or 13456 counting only the distinct ones).

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

The square root of 4202204400 is about 64824.4120682941. The cubic root of 4202204400 is about 1613.7108698377.

Adding to 4202204400 its reverse (44022024), we get a palindrome (4246226424).

The spelling of 4202204400 in words is "four billion, two hundred two million, two hundred four thousand, four hundred".