13420033440 has 192 divisors, whose sum is σ = 46412714880. Its totient is φ = 3232419840.

The previous prime is 13420033433. The next prime is 13420033493. The reversal of 13420033440 is 4433002431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13420033440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820866 + ... + 837054.

It is an arithmetic number, because the mean of its divisors is an integer number (241732890).

Almost surely, 2^13420033440 is an apocalyptic number.

13420033440 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 13420033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206357440).

13420033440 is an abundant number, since it is smaller than the sum of its proper divisors (32992681440).

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

13420033440 is a wasteful number, since it uses less digits than its factorization.

13420033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16375 (or 16367 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13420033440 its reverse (4433002431), we get a palindrome (17853035871).

The spelling of 13420033440 in words is "thirteen billion, four hundred twenty million, thirty-three thousand, four hundred forty".