4206160907520 has 1728 divisors, whose sum is σ = 16650281410560. Its totient is φ = 895972147200.

The previous prime is 4206160907483. The next prime is 4206160907527. The reversal of 4206160907520 is 257090616024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206160907527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18367514766 + ... + 18367514994.

It is an arithmetic number, because the mean of its divisors is an integer number (9635579520).

Almost surely, 2^{4206160907520} is an apocalyptic number.

4206160907520 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 4206160907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325140705280).

4206160907520 is an abundant number, since it is smaller than the sum of its proper divisors (12444120503040).

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

4206160907520 is a wasteful number, since it uses less digits than its factorization.

4206160907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 4206160907520 in words is "four trillion, two hundred six billion, one hundred sixty million, nine hundred seven thousand, five hundred twenty".