4158598320 has 200 divisors, whose sum is σ = 14486662080. Its totient is φ = 1105643520.

The previous prime is 4158598319. The next prime is 4158598331. The reversal of 4158598320 is 238958514.

4158598320 is a `hidden beast` number, since 4 + 1 + 58 + 598 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2792136 + ... + 2793624.

Almost surely, 2^4158598320 is an apocalyptic number.

4158598320 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 4158598320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243331040).

4158598320 is an abundant number, since it is smaller than the sum of its proper divisors (10328063760).

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

4158598320 is a wasteful number, since it uses less digits than its factorization.

4158598320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4158598320 is about 64487.1950080014. The cubic root of 4158598320 is about 1608.1096494620.

The spelling of 4158598320 in words is "four billion, one hundred fifty-eight million, five hundred ninety-eight thousand, three hundred twenty".