13801440 has 48 divisors (see below), whose sum is σ = 43476048. Its totient is φ = 3680256.

The previous prime is 13801393. The next prime is 13801483. The reversal of 13801440 is 4410831.

13801440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13897 + ... + 14856.

It is an arithmetic number, because the mean of its divisors is an integer number (905751).

Almost surely, 2^13801440 is an apocalyptic number.

13801440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13801440 is an abundant number, since it is smaller than the sum of its proper divisors (29674608).

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

13801440 is a wasteful number, since it uses less digits than its factorization.

13801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28771 (or 28763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13801440 is about 3715.0289366302. The cubic root of 13801440 is about 239.8693733602.

It can be divided in two parts, 13801 and 440, that added together give a palindrome (14241).

The spelling of 13801440 in words is "thirteen million, eight hundred one thousand, four hundred forty".