1416965116160 has 288 divisors, whose sum is σ = 3795427988352. Its totient is φ = 502388490240.

The previous prime is 1416965116141. The next prime is 1416965116199. The reversal of 1416965116160 is 616115696141.

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, 409881152 + ... + 409884608.

It is an arithmetic number, because the mean of its divisors is an integer number (13178569404).

Almost surely, 2^{1416965116160} is an apocalyptic number.

1416965116160 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 1416965116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897713994176).

1416965116160 is an abundant number, since it is smaller than the sum of its proper divisors (2378462872192).

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

1416965116160 is a wasteful number, since it uses less digits than its factorization.

1416965116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 1416965116160 in words is "one trillion, four hundred sixteen billion, nine hundred sixty-five million, one hundred sixteen thousand, one hundred sixty".