4059131904 has 156 divisors (see below), whose sum is σ = 11819613000. Its totient is φ = 1342144512.

The previous prime is 4059131891. The next prime is 4059131917. The reversal of 4059131904 is 4091319504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4059131891) and next prime (4059131917).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5492367 + ... + 5493105.

It is an arithmetic number, because the mean of its divisors is an integer number (75766750).

Almost surely, 2^4059131904 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 4059131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909806500).

4059131904 is an abundant number, since it is smaller than the sum of its proper divisors (7760481096).

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

4059131904 is a wasteful number, since it uses less digits than its factorization.

4059131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4059131904 is about 63711.3169225060. The cubic root of 4059131904 is about 1595.1849910074.

The spelling of 4059131904 in words is "four billion, fifty-nine million, one hundred thirty-one thousand, nine hundred four".