4164495720 has 192 divisors, whose sum is σ = 15694680960. Its totient is φ = 865328640.

The previous prime is 4164495719. The next prime is 4164495733. The reversal of 4164495720 is 275944614.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 81154 + ... + 122126.

It is an arithmetic number, because the mean of its divisors is an integer number (81743130).

Almost surely, 2^4164495720 is an apocalyptic number.

4164495720 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 4164495720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847340480).

4164495720 is an abundant number, since it is smaller than the sum of its proper divisors (11530185240).

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

4164495720 is a wasteful number, since it uses less digits than its factorization.

4164495720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41016 (or 41001 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 4164495720 is about 64532.9041652396. The cubic root of 4164495720 is about 1608.8694556633.

The spelling of 4164495720 in words is "four billion, one hundred sixty-four million, four hundred ninety-five thousand, seven hundred twenty".