14214340534400 has 96 divisors (see below), whose sum is σ = 36324686204100. Its totient is φ = 5489676308480.

The previous prime is 14214340534397. The next prime is 14214340534411. The reversal of 14214340534400 is 443504341241.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6480201549376 + 7734138985024 = 2545624^2 + 2781032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76493087 + ... + 76678686.

Almost surely, 2^{14214340534400} is an apocalyptic number.

14214340534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214340534400 is an abundant number, since it is smaller than the sum of its proper divisors (22110345669700).

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

14214340534400 is a wasteful number, since it uses less digits than its factorization.

14214340534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153171826 (or 153171809 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 14214340534400 its reverse (443504341241), we get a palindrome (14657844875641).

The spelling of 14214340534400 in words is "fourteen trillion, two hundred fourteen billion, three hundred forty million, five hundred thirty-four thousand, four hundred".