14001305472 has 288 divisors, whose sum is σ = 51131223000. Its totient is φ = 3636541440.

The previous prime is 14001305467. The next prime is 14001305491. The reversal of 14001305472 is 27450310041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 609654 + ... + 632202.

Almost surely, 2^14001305472 is an apocalyptic number.

14001305472 is a gapful number since it is divisible by the number (12) 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 14001305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25565611500).

14001305472 is an abundant number, since it is smaller than the sum of its proper divisors (37129917528).

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

14001305472 is a wasteful number, since it uses less digits than its factorization.

14001305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22594 (or 22572 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 14001305472 in words is "fourteen billion, one million, three hundred five thousand, four hundred seventy-two".