13381440 has 112 divisors (see below), whose sum is σ = 43452288. Its totient is φ = 3487744.

The previous prime is 13381427. The next prime is 13381463. The reversal of 13381440 is 4418331.

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 13381440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50749 + ... + 51011.

Almost surely, 2^13381440 is an apocalyptic number.

13381440 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 13381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726144).

13381440 is an abundant number, since it is smaller than the sum of its proper divisors (30070848).

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

13381440 is a wasteful number, since it uses less digits than its factorization.

13381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13381440 is about 3658.0650622973. The cubic root of 13381440 is about 237.4110618051.

Adding to 13381440 its reverse (4418331), we get a palindrome (17799771).

The spelling of 13381440 in words is "thirteen million, three hundred eighty-one thousand, four hundred forty".