14069406471120 has 5120 divisors, whose sum is σ = 72700946841600. Its totient is φ = 2403438428160.

The previous prime is 14069406471047. The next prime is 14069406471157. The reversal of 14069406471120 is 2117460496041.

14069406471120 is a `hidden beast` number, since 1 + 406 + 94 + 0 + 6 + 47 + 112 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 71418306862 + ... + 71418307058.

It is an arithmetic number, because the mean of its divisors is an integer number (14199403680).

Almost surely, 2^{14069406471120} is an apocalyptic number.

14069406471120 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 14069406471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36350473420800).

14069406471120 is an abundant number, since it is smaller than the sum of its proper divisors (58631540370480).

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

14069406471120 is a wasteful number, since it uses less digits than its factorization.

14069406471120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14069406471120 in words is "fourteen trillion, sixty-nine billion, four hundred six million, four hundred seventy-one thousand, one hundred twenty".