16436642935440 has 960 divisors, whose sum is σ = 66043952916480. Its totient is φ = 3348296663040.

The previous prime is 16436642935421. The next prime is 16436642935481. The reversal of 16436642935440 is 4453924663461.

It is a happy number.

16436642935440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2165847166 + ... + 2165854754.

It is an arithmetic number, because the mean of its divisors is an integer number (68795784288).

Almost surely, 2^{16436642935440} is an apocalyptic number.

16436642935440 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 16436642935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33021976458240).

16436642935440 is an abundant number, since it is smaller than the sum of its proper divisors (49607309981040).

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

16436642935440 is a wasteful number, since it uses less digits than its factorization.

16436642935440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 57.

The spelling of 16436642935440 in words is "sixteen trillion, four hundred thirty-six billion, six hundred forty-two million, nine hundred thirty-five thousand, four hundred forty".