4158885600 has 288 divisors, whose sum is σ = 15529006080. Its totient is φ = 1073088000.

The previous prime is 4158885589. The next prime is 4158885607. The reversal of 4158885600 is 65888514.

4158885600 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 88 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4158885607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666495 + ... + 672705.

It is an arithmetic number, because the mean of its divisors is an integer number (53920160).

Almost surely, 2^4158885600 is an apocalyptic number.

4158885600 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 4158885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764503040).

4158885600 is an abundant number, since it is smaller than the sum of its proper divisors (11370120480).

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

4158885600 is a wasteful number, since it uses less digits than its factorization.

4158885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 4158885600 is about 64489.4223884817. The cubic root of 4158885600 is about 1608.1466785334.

The spelling of 4158885600 in words is "four billion, one hundred fifty-eight million, eight hundred eighty-five thousand, six hundred".