4204164096 has 264 divisors, whose sum is σ = 13396616064. Its totient is φ = 1259274240.

The previous prime is 4204164079. The next prime is 4204164101. The reversal of 4204164096 is 6904614024.

4204164096 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 1 + 640 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4204164096.

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, 11455305 + ... + 11455671.

Almost surely, 2^4204164096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698308032).

4204164096 is an abundant number, since it is smaller than the sum of its proper divisors (9192451968).

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

4204164096 is a wasteful number, since it uses less digits than its factorization.

4204164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4204164096 is about 64839.5257231266. The cubic root of 4204164096 is about 1613.9616819489.

The spelling of 4204164096 in words is "four billion, two hundred four million, one hundred sixty-four thousand, ninety-six".