14354042512400 has 60 divisors (see below), whose sum is σ = 35136258643332. Its totient is φ = 5633284600320.

The previous prime is 14354042512399. The next prime is 14354042512427. The reversal of 14354042512400 is 421524045341.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1618879611904 + 12735162900496 = 1272352^2 + 3568636^2 .

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 11 ways as a sum of consecutive naturals, for example, 338517539 + ... + 338559938.

Almost surely, 2^{14354042512400} is an apocalyptic number.

14354042512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14354042512400 is an abundant number, since it is smaller than the sum of its proper divisors (20782216130932).

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

14354042512400 is a wasteful number, since it uses less digits than its factorization.

14354042512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677077548 (or 677077537 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 14354042512400 its reverse (421524045341), we get a palindrome (14775566557741).

The spelling of 14354042512400 in words is "fourteen trillion, three hundred fifty-four billion, forty-two million, five hundred twelve thousand, four hundred".