4158205632 has 560 divisors, whose sum is σ = 15322743040. Its totient is φ = 1088391168.

The previous prime is 4158205607. The next prime is 4158205663. The reversal of 4158205632 is 2365028514.

4158205632 is a `hidden beast` number, since 4 + 15 + 8 + 2 + 0 + 5 + 632 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25510383 + ... + 25510545.

Almost surely, 2^4158205632 is an apocalyptic number.

4158205632 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 4158205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661371520).

4158205632 is an abundant number, since it is smaller than the sum of its proper divisors (11164537408).

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

4158205632 is a wasteful number, since it uses less digits than its factorization.

4158205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4158205632 is about 64484.1502386439. The cubic root of 4158205632 is about 1608.0590310251.

The spelling of 4158205632 in words is "four billion, one hundred fifty-eight million, two hundred five thousand, six hundred thirty-two".