14420005403160 has 256 divisors, whose sum is σ = 50284078387200. Its totient is φ = 3239744140800.

The previous prime is 14420005403129. The next prime is 14420005403179. The reversal of 14420005403160 is 6130450002441.

14420005403160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652743715 + ... + 652765805.

It is an arithmetic number, because the mean of its divisors is an integer number (196422181200).

Almost surely, 2^{14420005403160} is an apocalyptic number.

14420005403160 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 14420005403160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25142039193600).

14420005403160 is an abundant number, since it is smaller than the sum of its proper divisors (35864072984040).

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

14420005403160 is a wasteful number, since it uses less digits than its factorization.

14420005403160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35342 (or 35338 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 14420005403160 in words is "fourteen trillion, four hundred twenty billion, five million, four hundred three thousand, one hundred sixty".