4089938292 has 288 divisors, whose sum is σ = 12564034560. Its totient is φ = 1138294080.

The previous prime is 4089938263. The next prime is 4089938341. The reversal of 4089938292 is 2928399804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69320959 + ... + 69321017.

It is an arithmetic number, because the mean of its divisors is an integer number (43625120).

Almost surely, 2^4089938292 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 4089938292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282017280).

4089938292 is an abundant number, since it is smaller than the sum of its proper divisors (8474096268).

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

4089938292 is a wasteful number, since it uses less digits than its factorization.

4089938292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 4089938292 is about 63952.6253722238. The cubic root of 4089938292 is about 1599.2103254271.

The spelling of 4089938292 in words is "four billion, eighty-nine million, nine hundred thirty-eight thousand, two hundred ninety-two".