14113315440 has 480 divisors, whose sum is σ = 56522858496. Its totient is φ = 3088005120.

The previous prime is 14113315439. The next prime is 14113315481. The reversal of 14113315440 is 4451331141.

14113315440 is a `hidden beast` number, since 1 + 4 + 113 + 3 + 1 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16092282 + ... + 16093158.

Almost surely, 2^14113315440 is an apocalyptic number.

14113315440 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 14113315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28261429248).

14113315440 is an abundant number, since it is smaller than the sum of its proper divisors (42409543056).

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

14113315440 is a wasteful number, since it uses less digits than its factorization.

14113315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14113315440 its reverse (4451331141), we get a palindrome (18564646581).

The spelling of 14113315440 in words is "fourteen billion, one hundred thirteen million, three hundred fifteen thousand, four hundred forty".