14010125106432 has 288 divisors, whose sum is σ = 45991795449600. Its totient is φ = 3686954434560.

The previous prime is 14010125106371. The next prime is 14010125106449. The reversal of 14010125106432 is 23460152101041.

It is a self number, because there is not a number n which added to its sum of digits gives 14010125106432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32000944 + ... + 32435792.

It is an arithmetic number, because the mean of its divisors is an integer number (159693734200).

Almost surely, 2^{14010125106432} is an apocalyptic number.

14010125106432 is a gapful number since it is divisible by the number (12) 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 14010125106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22995897724800).

14010125106432 is an abundant number, since it is smaller than the sum of its proper divisors (31981670343168).

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

14010125106432 is a wasteful number, since it uses less digits than its factorization.

14010125106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435349 (or 435335 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 14010125106432 its reverse (23460152101041), we get a palindrome (37470277207473).

The spelling of 14010125106432 in words is "fourteen trillion, ten billion, one hundred twenty-five million, one hundred six thousand, four hundred thirty-two".