4059124992 has 216 divisors, whose sum is σ = 12846552264. Its totient is φ = 1224916992.

The previous prime is 4059124963. The next prime is 4059125023. The reversal of 4059124992 is 2994219504.

It can be written as a sum of positive squares in 4 ways, for example, as 301925376 + 3757199616 = 17376^2 + 61296^2 .

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, 1586178 + ... + 1588734.

It is an arithmetic number, because the mean of its divisors is an integer number (59474779).

Almost surely, 2^4059124992 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 4059124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423276132).

4059124992 is an abundant number, since it is smaller than the sum of its proper divisors (8787427272).

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

4059124992 is a wasteful number, since it uses less digits than its factorization.

4059124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4059124992 is about 63711.2626778029. The cubic root of 4059124992 is about 1595.1840855655.

The spelling of 4059124992 in words is "four billion, fifty-nine million, one hundred twenty-four thousand, nine hundred ninety-two".