13994418240 has 336 divisors, whose sum is σ = 53934603840. Its totient is φ = 3300618240.

The previous prime is 13994418239. The next prime is 13994418259. The reversal of 13994418240 is 4281449931.

13994418240 is a `hidden beast` number, since 1 + 3 + 99 + 441 + 82 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1166191 + ... + 1178129.

Almost surely, 2^13994418240 is an apocalyptic number.

13994418240 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 13994418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967301920).

13994418240 is an abundant number, since it is smaller than the sum of its proper divisors (39940185600).

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

13994418240 is a wasteful number, since it uses less digits than its factorization.

13994418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 13994 and 418240, that added together give a palindrome (432234).

The spelling of 13994418240 in words is "thirteen billion, nine hundred ninety-four million, four hundred eighteen thousand, two hundred forty".