14106319021080 has 576 divisors, whose sum is σ = 56162293125120. Its totient is φ = 3156654758400.

The previous prime is 14106319021057. The next prime is 14106319021133. The reversal of 14106319021080 is 8012091360141.

14106319021080 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 631 + 9 + 0 + 2 + 10 + 8 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 17679145 + ... + 18459815.

It is an arithmetic number, because the mean of its divisors is an integer number (97503981120).

Almost surely, 2^{14106319021080} is an apocalyptic number.

14106319021080 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 14106319021080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28081146562560).

14106319021080 is an abundant number, since it is smaller than the sum of its proper divisors (42055974104040).

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

14106319021080 is a wasteful number, since it uses less digits than its factorization.

14106319021080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780734 (or 780705 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 14106319021080 in words is "fourteen trillion, one hundred six billion, three hundred nineteen million, twenty-one thousand, eighty".