4158608832 has 420 divisors, whose sum is σ = 14502278336. Its totient is φ = 1137991680.

The previous prime is 4158608813. The next prime is 4158608849. The reversal of 4158608832 is 2388068514.

4158608832 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 608 + 8 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42872208 + ... + 42872304.

Almost surely, 2^4158608832 is an apocalyptic number.

4158608832 is a gapful number since it is divisible by the number (42) 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 4158608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251139168).

4158608832 is an abundant number, since it is smaller than the sum of its proper divisors (10343669504).

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

4158608832 is an equidigital number, since it uses as much as digits as its factorization.

4158608832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4158608832 is about 64487.2765125028. The cubic root of 4158608832 is about 1608.1110044406. Note that the first 3 decimals are identical.

It can be divided in two parts, 4 and 158608832, that added together give a square (158608836 = 12594²).

The spelling of 4158608832 in words is "four billion, one hundred fifty-eight million, six hundred eight thousand, eight hundred thirty-two".