16445416440 has 128 divisors (see below), whose sum is σ = 49977907200. Its totient is φ = 4328586240.

The previous prime is 16445416439. The next prime is 16445416447. The reversal of 16445416440 is 4461454461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16445416447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8788705 + ... + 8790575.

It is an arithmetic number, because the mean of its divisors is an integer number (390452400).

Almost surely, 2^16445416440 is an apocalyptic number.

16445416440 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 16445416440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988953600).

16445416440 is an abundant number, since it is smaller than the sum of its proper divisors (33532490760).

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

16445416440 is a wasteful number, since it uses less digits than its factorization.

16445416440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 16445416440 in words is "sixteen billion, four hundred forty-five million, four hundred sixteen thousand, four hundred forty".