14454165440 has 224 divisors, whose sum is σ = 41534023104. Its totient is φ = 4720066560.

The previous prime is 14454165437. The next prime is 14454165487. The reversal of 14454165440 is 4456145441.

It is a junction number, because it is equal to n+sod(n) for n = 14454165394 and 14454165403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688852 + ... + 1697388.

It is an arithmetic number, because the mean of its divisors is an integer number (185419746).

Almost surely, 2^14454165440 is an apocalyptic number.

14454165440 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 14454165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20767011552).

14454165440 is an abundant number, since it is smaller than the sum of its proper divisors (27079857664).

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

14454165440 is a wasteful number, since it uses less digits than its factorization.

14454165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 14454165440 in words is "fourteen billion, four hundred fifty-four million, one hundred sixty-five thousand, four hundred forty".