4160886400000 has 528 divisors, whose sum is σ = 11609585064000. Its totient is φ = 1477324800000.

The previous prime is 4160886399983. The next prime is 4160886400019. The reversal of 4160886400000 is 46880614.

It is a congruent number.

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, 1513598626 + ... + 1513601374.

It is an arithmetic number, because the mean of its divisors is an integer number (21987850500).

Almost surely, 2^{4160886400000} is an apocalyptic number.

4160886400000 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 4160886400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804792532000).

4160886400000 is an abundant number, since it is smaller than the sum of its proper divisors (7448698664000).

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

4160886400000 is an equidigital number, since it uses as much as digits as its factorization.

4160886400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 4160886400000 in words is "four trillion, one hundred sixty billion, eight hundred eighty-six million, four hundred thousand".