14214124320 has 192 divisors, whose sum is σ = 51718455936. Its totient is φ = 3243130880.

The previous prime is 14214124313. The next prime is 14214124349. The reversal of 14214124320 is 2342141241.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10582 + ... + 168938.

It is an arithmetic number, because the mean of its divisors is an integer number (269366958).

Almost surely, 2^14214124320 is an apocalyptic number.

14214124320 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 14214124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25859227968).

14214124320 is an abundant number, since it is smaller than the sum of its proper divisors (37504331616).

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

14214124320 is a wasteful number, since it uses less digits than its factorization.

14214124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158403 (or 158395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14214124320 its reverse (2342141241), we get a palindrome (16556265561).

The spelling of 14214124320 in words is "fourteen billion, two hundred fourteen million, one hundred twenty-four thousand, three hundred twenty".