14314624321140 has 1296 divisors, whose sum is σ = 54729804729600. Its totient is φ = 3016368875520.

The previous prime is 14314624321117. The next prime is 14314624321147. The reversal of 14314624321140 is 4112342641341.

It is a happy number.

14314624321140 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 4 + 624 + 3 + 21 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14314624321095 and 14314624321104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314624321147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13777308741 + ... + 13777309779.

It is an arithmetic number, because the mean of its divisors is an integer number (42229787600).

Almost surely, 2^{14314624321140} is an apocalyptic number.

14314624321140 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 14314624321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27364902364800).

14314624321140 is an abundant number, since it is smaller than the sum of its proper divisors (40415180408460).

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

14314624321140 is a wasteful number, since it uses less digits than its factorization.

14314624321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 14314624321140 its reverse (4112342641341), we get a palindrome (18426966962481).

The spelling of 14314624321140 in words is "fourteen trillion, three hundred fourteen billion, six hundred twenty-four million, three hundred twenty-one thousand, one hundred forty".