4161870720 has 384 divisors, whose sum is σ = 17037296640. Its totient is φ = 951035904.

The previous prime is 4161870701. The next prime is 4161870737. The reversal of 4161870720 is 270781614.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086729 + ... + 1090551.

It is an arithmetic number, because the mean of its divisors is an integer number (44367960).

Almost surely, 2^4161870720 is an apocalyptic number.

4161870720 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 4161870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518648320).

4161870720 is an abundant number, since it is smaller than the sum of its proper divisors (12875425920).

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

4161870720 is an equidigital number, since it uses as much as digits as its factorization.

4161870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 4161870720 is about 64512.5624975477. The cubic root of 4161870720 is about 1608.5313459002.

The spelling of 4161870720 in words is "four billion, one hundred sixty-one million, eight hundred seventy thousand, seven hundred twenty".