4164536121720 has 256 divisors, whose sum is σ = 13712750029440. Its totient is φ = 1005464199168.

The previous prime is 4164536121689. The next prime is 4164536121763. The reversal of 4164536121720 is 271216354614.

4164536121720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4164536121720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380074482 + ... + 380085438.

Almost surely, 2^{4164536121720} is an apocalyptic number.

4164536121720 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 4164536121720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856375014720).

4164536121720 is an abundant number, since it is smaller than the sum of its proper divisors (9548213907720).

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

4164536121720 is a wasteful number, since it uses less digits than its factorization.

4164536121720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634 (or 15630 counting only the distinct ones).

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

The spelling of 4164536121720 in words is "four trillion, one hundred sixty-four billion, five hundred thirty-six million, one hundred twenty-one thousand, seven hundred twenty".