14009442720 has 384 divisors, whose sum is σ = 55135696896. Its totient is φ = 2911113216.

The previous prime is 14009442677. The next prime is 14009442743. The reversal of 14009442720 is 2724490041.

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, 2924167 + ... + 2928953.

It is an arithmetic number, because the mean of its divisors is an integer number (143582544).

Almost surely, 2^14009442720 is an apocalyptic number.

14009442720 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 14009442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567848448).

14009442720 is an abundant number, since it is smaller than the sum of its proper divisors (41126254176).

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

14009442720 is a wasteful number, since it uses less digits than its factorization.

14009442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 14009442720 in words is "fourteen billion, nine million, four hundred forty-two thousand, seven hundred twenty".