16445414230440 has 256 divisors, whose sum is σ = 54975594240000. Its totient is φ = 3908207923200.

The previous prime is 16445414230439. The next prime is 16445414230451. The reversal of 16445414230440 is 4403241454461.

It is a junction number, because it is equal to n+sod(n) for n = 16445414230392 and 16445414230401.

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, 19955686 + ... + 20763434.

It is an arithmetic number, because the mean of its divisors is an integer number (214748415000).

Almost surely, 2^{16445414230440} is an apocalyptic number.

16445414230440 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 16445414230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27487797120000).

16445414230440 is an abundant number, since it is smaller than the sum of its proper divisors (38530180009560).

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

16445414230440 is a wasteful number, since it uses less digits than its factorization.

16445414230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808228 (or 808224 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 16445414230440 in words is "sixteen trillion, four hundred forty-five billion, four hundred fourteen million, two hundred thirty thousand, four hundred forty".