14130334370880 has 2240 divisors, whose sum is σ = 63042800325120. Its totient is φ = 2937204965376.

The previous prime is 14130334370869. The next prime is 14130334370897. The reversal of 14130334370880 is 8807343303141.

14130334370880 is a `hidden beast` number, since 1 + 4 + 130 + 3 + 3 + 437 + 0 + 8 + 80 = 666.

14130334370880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51012037302 + ... + 51012037578.

It is an arithmetic number, because the mean of its divisors is an integer number (28144107288).

Almost surely, 2^{14130334370880} is an apocalyptic number.

14130334370880 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 14130334370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31521400162560).

14130334370880 is an abundant number, since it is smaller than the sum of its proper divisors (48912465954240).

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

14130334370880 is an frugal number, since it uses more digits than its factorization.

14130334370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14130334370880 in words is "fourteen trillion, one hundred thirty billion, three hundred thirty-four million, three hundred seventy thousand, eight hundred eighty".