13390936416 has 576 divisors, whose sum is σ = 47297779200. Its totient is φ = 3660180480.

The previous prime is 13390936411. The next prime is 13390936439. The reversal of 13390936416 is 61463909331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13390936411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80185165 + ... + 80185331.

It is an arithmetic number, because the mean of its divisors is an integer number (82114200).

Almost surely, 2^13390936416 is an apocalyptic number.

13390936416 is a gapful number since it is divisible by the number (16) 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 13390936416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23648889600).

13390936416 is an abundant number, since it is smaller than the sum of its proper divisors (33906842784).

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

13390936416 is a wasteful number, since it uses less digits than its factorization.

13390936416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13390936416 in words is "thirteen billion, three hundred ninety million, nine hundred thirty-six thousand, four hundred sixteen".