4202416192 has 84 divisors (see below), whose sum is σ = 9274925316. Its totient is φ = 1886976000.

The previous prime is 4202416177. The next prime is 4202416199. The reversal of 4202416192 is 2916142024.

4202416192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 296666176 + 3905750016 = 17224^2 + 62496^2 .

It is not an unprimeable number, because it can be changed into a prime (4202416199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394942 + ... + 405442.

Almost surely, 2^4202416192 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 4202416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637462658).

4202416192 is an abundant number, since it is smaller than the sum of its proper divisors (5072509124).

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

4202416192 is a wasteful number, since it uses less digits than its factorization.

4202416192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4202416192 is about 64826.0456298238. The cubic root of 4202416192 is about 1613.7379798398.

The spelling of 4202416192 in words is "four billion, two hundred two million, four hundred sixteen thousand, one hundred ninety-two".