4157318880 has 432 divisors, whose sum is σ = 16769437776. Its totient is φ = 929710080.

The previous prime is 4157318821. The next prime is 4157318903. The reversal of 4157318880 is 888137514.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2676184 + ... + 2677736.

It is an arithmetic number, because the mean of its divisors is an integer number (38818143).

Almost surely, 2^4157318880 is an apocalyptic number.

4157318880 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 4157318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384718888).

4157318880 is an abundant number, since it is smaller than the sum of its proper divisors (12612118896).

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

4157318880 is a wasteful number, since it uses less digits than its factorization.

4157318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 4157318880 is about 64477.2741359310. The cubic root of 4157318880 is about 1607.9447148142.

The spelling of 4157318880 in words is "four billion, one hundred fifty-seven million, three hundred eighteen thousand, eight hundred eighty".