4160945289600 has 2304 divisors, whose sum is σ = 17796160972800. Its totient is φ = 947054592000.

The previous prime is 4160945289583. The next prime is 4160945289617. The reversal of 4160945289600 is 69825490614.

4160945289600 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 9 + 4 + 5 + 28 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4160945289583) and next prime (4160945289617).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11991196627 + ... + 11991196973.

It is an arithmetic number, because the mean of its divisors is an integer number (7724028200).

Almost surely, 2^{4160945289600} is an apocalyptic number.

4160945289600 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 4160945289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898080486400).

4160945289600 is an abundant number, since it is smaller than the sum of its proper divisors (13635215683200).

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

4160945289600 is a wasteful number, since it uses less digits than its factorization.

4160945289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4160945289600 in words is "four trillion, one hundred sixty billion, nine hundred forty-five million, two hundred eighty-nine thousand, six hundred".