14412125312040 has 256 divisors, whose sum is σ = 46379427897600. Its totient is φ = 3571587661824.

The previous prime is 14412125311973. The next prime is 14412125312051. The reversal of 14412125312040 is 4021352121441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14412125311989 and 14412125312007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038854544 + ... + 1038868416.

It is an arithmetic number, because the mean of its divisors is an integer number (181169640225).

Almost surely, 2^{14412125312040} is an apocalyptic number.

14412125312040 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 14412125312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23189713948800).

14412125312040 is an abundant number, since it is smaller than the sum of its proper divisors (31967302585560).

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

14412125312040 is a wasteful number, since it uses less digits than its factorization.

14412125312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22556 (or 22552 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 14412125312040 its reverse (4021352121441), we get a palindrome (18433477433481).

The spelling of 14412125312040 in words is "fourteen trillion, four hundred twelve billion, one hundred twenty-five million, three hundred twelve thousand, forty".