4206441093120 has 1920 divisors, whose sum is σ = 19213472678400. Its totient is φ = 856905744384.

The previous prime is 4206441093109. The next prime is 4206441093149. The reversal of 4206441093120 is 213901446024.

4206441093120 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 441 + 0 + 93 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4206441093120² (a number of 26 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1875362719 + ... + 1875364961.

It is an arithmetic number, because the mean of its divisors is an integer number (10007017020).

Almost surely, 2^{4206441093120} is an apocalyptic number.

4206441093120 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 4206441093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9606736339200).

4206441093120 is an abundant number, since it is smaller than the sum of its proper divisors (15007031585280).

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

4206441093120 is a wasteful number, since it uses less digits than its factorization.

4206441093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4206441093120 in words is "four trillion, two hundred six billion, four hundred forty-one million, ninety-three thousand, one hundred twenty".