13398781440 has 320 divisors, whose sum is σ = 47021990400. Its totient is φ = 3227811840.

The previous prime is 13398781411. The next prime is 13398781447. The reversal of 13398781440 is 4418789331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13398781440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13398781447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16811122 + ... + 16811918.

It is an arithmetic number, because the mean of its divisors is an integer number (146943720).

Almost surely, 2^13398781440 is an apocalyptic number.

13398781440 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 13398781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

13398781440 is an abundant number, since it is smaller than the sum of its proper divisors (33623208960).

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

13398781440 is a wasteful number, since it uses less digits than its factorization.

13398781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 13398781440 in words is "thirteen billion, three hundred ninety-eight million, seven hundred eighty-one thousand, four hundred forty".