13915440 has 240 divisors, whose sum is σ = 58496256. Its totient is φ = 2880000.

The previous prime is 13915439. The next prime is 13915453. The reversal of 13915440 is 4451931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55315 + ... + 55565.

Almost surely, 2^13915440 is an apocalyptic number.

13915440 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 13915440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

13915440 is an abundant number, since it is smaller than the sum of its proper divisors (44580816).

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

13915440 is a wasteful number, since it uses less digits than its factorization.

13915440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13915440 is about 3730.3404670351. The cubic root of 13915440 is about 240.5280041963.

The spelling of 13915440 in words is "thirteen million, nine hundred fifteen thousand, four hundred forty".