14160439440 has 800 divisors, whose sum is σ = 60064012800. Its totient is φ = 3084770304.

The previous prime is 14160439427. The next prime is 14160439457. The reversal of 14160439440 is 4493406141.

It is a happy number.

14160439440 is a `hidden beast` number, since 1 + 4 + 1 + 604 + 3 + 9 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14160439395 and 14160439404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51120582 + ... + 51120858.

It is an arithmetic number, because the mean of its divisors is an integer number (75080016).

Almost surely, 2^14160439440 is an apocalyptic number.

14160439440 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 14160439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30032006400).

14160439440 is an abundant number, since it is smaller than the sum of its proper divisors (45903573360).

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

14160439440 is a wasteful number, since it uses less digits than its factorization.

14160439440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14160439440 in words is "fourteen billion, one hundred sixty million, four hundred thirty-nine thousand, four hundred forty".