16414840960 has 128 divisors (see below), whose sum is σ = 47486010240. Its totient is φ = 5296865280.

The previous prime is 16414840957. The next prime is 16414840973. The reversal of 16414840960 is 6904841461.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31606 + ... + 183925.

It is an arithmetic number, because the mean of its divisors is an integer number (370984455).

Almost surely, 2^16414840960 is an apocalyptic number.

16414840960 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 16414840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23743005120).

16414840960 is an abundant number, since it is smaller than the sum of its proper divisors (31071169280).

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

16414840960 is a wasteful number, since it uses less digits than its factorization.

16414840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215574 (or 215562 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 16414840960 in words is "sixteen billion, four hundred fourteen million, eight hundred forty thousand, nine hundred sixty".