14032801009920 has 3456 divisors, whose sum is σ = 63161548111872. Its totient is φ = 2615987404800.

The previous prime is 14032801009901. The next prime is 14032801009973. The reversal of 14032801009920 is 2990010823041.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54602338432 + ... + 54602338688.

It is an arithmetic number, because the mean of its divisors is an integer number (18275910912).

Almost surely, 2^{14032801009920} is an apocalyptic number.

14032801009920 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 14032801009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31580774055936).

14032801009920 is an abundant number, since it is smaller than the sum of its proper divisors (49128747101952).

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

14032801009920 is a wasteful number, since it uses less digits than its factorization.

14032801009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 14032801009920 in words is "fourteen trillion, thirty-two billion, eight hundred one million, nine thousand, nine hundred twenty".