1414441513160 has 256 divisors, whose sum is σ = 3573830937600. Its totient is φ = 500436099072.

The previous prime is 1414441513157. The next prime is 1414441513237. The reversal of 1414441513160 is 613151444141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1414441513160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853615052 + ... + 853616708.

It is an arithmetic number, because the mean of its divisors is an integer number (13960277100).

Almost surely, 2^{1414441513160} is an apocalyptic number.

1414441513160 is a gapful number since it is divisible by the number (10) 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 1414441513160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786915468800).

1414441513160 is an abundant number, since it is smaller than the sum of its proper divisors (2159389424440).

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

1414441513160 is a wasteful number, since it uses less digits than its factorization.

1414441513160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 1414441513160 in words is "one trillion, four hundred fourteen billion, four hundred forty-one million, five hundred thirteen thousand, one hundred sixty".