14420234400400 has 30 divisors (see below), whose sum is σ = 34644613147922. Its totient is φ = 5768093760000.

The previous prime is 14420234400353. The next prime is 14420234400457. The reversal of 14420234400400 is 400443202441.

It can be written as a sum of positive squares in 3 ways, for example, as 121429947024 + 14298804453376 = 348468^2 + 3781376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18025292601 + ... + 18025293400.

Almost surely, 2^{14420234400400} is an apocalyptic number.

14420234400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420234400400 is an abundant number, since it is smaller than the sum of its proper divisors (20224378747522).

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

14420234400400 is a wasteful number, since it uses less digits than its factorization.

14420234400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36050586019 (or 36050586008 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14420234400400 its reverse (400443202441), we get a palindrome (14820677602841).

The spelling of 14420234400400 in words is "fourteen trillion, four hundred twenty billion, two hundred thirty-four million, four hundred thousand, four hundred".