4202204160 has 1056 divisors, whose sum is σ = 18817989120. Its totient is φ = 778567680.

The previous prime is 4202204159. The next prime is 4202204183. The reversal of 4202204160 is 614022024.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221168631 + ... + 221168649.

Almost surely, 2^4202204160 is an apocalyptic number.

4202204160 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 4202204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408994560).

4202204160 is an abundant number, since it is smaller than the sum of its proper divisors (14615784960).

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

4202204160 is a wasteful number, since it uses less digits than its factorization.

4202204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4202204160 is about 64824.4102171397. The cubic root of 4202204160 is about 1613.7108391165.

Adding to 4202204160 its reverse (614022024), we get a palindrome (4816226184).

The spelling of 4202204160 in words is "four billion, two hundred two million, two hundred four thousand, one hundred sixty".