14201172711040 has 512 divisors, whose sum is σ = 40157268134400. Its totient is φ = 4702067490816.

The previous prime is 14201172711023. The next prime is 14201172711133. The reversal of 14201172711040 is 4011727110241.

It is a junction number, because it is equal to n+sod(n) for n = 14201172710993 and 14201172711011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5344813392 + ... + 5344816048.

It is an arithmetic number, because the mean of its divisors is an integer number (78432164325).

Almost surely, 2^{14201172711040} is an apocalyptic number.

14201172711040 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 14201172711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20078634067200).

14201172711040 is an abundant number, since it is smaller than the sum of its proper divisors (25956095423360).

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

14201172711040 is a wasteful number, since it uses less digits than its factorization.

14201172711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

Adding to 14201172711040 its reverse (4011727110241), we get a palindrome (18212899821281).

The spelling of 14201172711040 in words is "fourteen trillion, two hundred one billion, one hundred seventy-two million, seven hundred eleven thousand, forty".