14424246720 has 672 divisors, whose sum is σ = 58402606080. Its totient is φ = 3359232000.

The previous prime is 14424246709. The next prime is 14424246787. The reversal of 14424246720 is 2764242441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19206345 + ... + 19207095.

It is an arithmetic number, because the mean of its divisors is an integer number (86908640).

Almost surely, 2^14424246720 is an apocalyptic number.

14424246720 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 14424246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29201303040).

14424246720 is an abundant number, since it is smaller than the sum of its proper divisors (43978359360).

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

14424246720 is a wasteful number, since it uses less digits than its factorization.

14424246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 14424246720 in words is "fourteen billion, four hundred twenty-four million, two hundred forty-six thousand, seven hundred twenty".