4292761200 has 480 divisors, whose sum is σ = 17823859200. Its totient is φ = 857640960.

The previous prime is 4292761183. The next prime is 4292761211. The reversal of 4292761200 is 21672924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2073766 + ... + 2075834.

It is an arithmetic number, because the mean of its divisors is an integer number (37133040).

Almost surely, 2^4292761200 is an apocalyptic number.

4292761200 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 4292761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911929600).

4292761200 is an abundant number, since it is smaller than the sum of its proper divisors (13531098000).

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

4292761200 is a wasteful number, since it uses less digits than its factorization.

4292761200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4292761200 is about 65519.1666613671. The cubic root of 4292761200 is about 1625.2203188456.

The spelling of 4292761200 in words is "four billion, two hundred ninety-two million, seven hundred sixty-one thousand, two hundred".