14001424323440 has 160 divisors (see below), whose sum is σ = 34613181757440. Its totient is φ = 5256378344448.

The previous prime is 14001424323431. The next prime is 14001424323461. The reversal of 14001424323440 is 4432342410041.

It is a junction number, because it is equal to n+sod(n) for n = 14001424323397 and 14001424323406.

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, 20318789 + ... + 20996571.

It is an arithmetic number, because the mean of its divisors is an integer number (216332385984).

Almost surely, 2^{14001424323440} is an apocalyptic number.

14001424323440 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 14001424323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17306590878720).

14001424323440 is an abundant number, since it is smaller than the sum of its proper divisors (20611757434000).

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

14001424323440 is a wasteful number, since it uses less digits than its factorization.

14001424323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678031 (or 678025 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14001424323440 its reverse (4432342410041), we get a palindrome (18433766733481).

The spelling of 14001424323440 in words is "fourteen trillion, one billion, four hundred twenty-four million, three hundred twenty-three thousand, four hundred forty".