4109589514160 has 160 divisors (see below), whose sum is σ = 10318646939328. Its totient is φ = 1513135779840.

The previous prime is 4109589514157. The next prime is 4109589514189. The reversal of 4109589514160 is 614159859014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721864274 + ... + 721869966.

Almost surely, 2^{4109589514160} is an apocalyptic number.

4109589514160 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 4109589514160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159323469664).

4109589514160 is an abundant number, since it is smaller than the sum of its proper divisors (6209057425168).

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

4109589514160 is a wasteful number, since it uses less digits than its factorization.

4109589514160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 53.

The spelling of 4109589514160 in words is "four trillion, one hundred nine billion, five hundred eighty-nine million, five hundred fourteen thousand, one hundred sixty".