14218813440 has 896 divisors, whose sum is σ = 58129505280. Its totient is φ = 3269984256.

The previous prime is 14218813439. The next prime is 14218813451. The reversal of 14218813440 is 4431881241.

It is a happy number.

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 = 14218813395 and 14218813404.

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, 330670059 + ... + 330670101.

It is an arithmetic number, because the mean of its divisors is an integer number (64876680).

Almost surely, 2^14218813440 is an apocalyptic number.

14218813440 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 14218813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29064752640).

14218813440 is an abundant number, since it is smaller than the sum of its proper divisors (43910691840).

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

14218813440 is a wasteful number, since it uses less digits than its factorization.

14218813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14218813440 in words is "fourteen billion, two hundred eighteen million, eight hundred thirteen thousand, four hundred forty".