4158394560 has 336 divisors, whose sum is σ = 15093891072. Its totient is φ = 1049241600.

The previous prime is 4158394543. The next prime is 4158394573. The reversal of 4158394560 is 654938514.

4158394560 is a `hidden beast` number, since 4 + 1 + 5 + 83 + 9 + 4 + 560 = 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 47 ways as a sum of consecutive naturals, for example, 4195665 + ... + 4196655.

Almost surely, 2^4158394560 is an apocalyptic number.

4158394560 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 4158394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546945536).

4158394560 is an abundant number, since it is smaller than the sum of its proper divisors (10935496512).

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

4158394560 is a wasteful number, since it uses less digits than its factorization.

4158394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4158394560 is about 64485.6151401225. The cubic root of 4158394560 is about 1608.0833847009.

The spelling of 4158394560 in words is "four billion, one hundred fifty-eight million, three hundred ninety-four thousand, five hundred sixty".