4158640080 has 480 divisors, whose sum is σ = 16886538240. Its totient is φ = 897039360.

The previous prime is 4158640061. The next prime is 4158640091. The reversal of 4158640080 is 800468514.

4158640080 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 640 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6718011 + ... + 6718629.

It is an arithmetic number, because the mean of its divisors is an integer number (35180288).

Almost surely, 2^4158640080 is an apocalyptic number.

4158640080 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 4158640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443269120).

4158640080 is an abundant number, since it is smaller than the sum of its proper divisors (12727898160).

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

4158640080 is a wasteful number, since it uses less digits than its factorization.

4158640080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4158640080 is about 64487.5187923989. The cubic root of 4158640080 is about 1608.1150322400.

The spelling of 4158640080 in words is "four billion, one hundred fifty-eight million, six hundred forty thousand, eighty".