14400111040420 has 96 divisors (see below), whose sum is σ = 34987071571200. Its totient is φ = 4876244212224.

The previous prime is 14400111040379. The next prime is 14400111040421. The reversal of 14400111040420 is 2404011100441.

It is a junction number, because it is equal to n+sod(n) for n = 14400111040391 and 14400111040400.

It is not an unprimeable number, because it can be changed into a prime (14400111040421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39197346 + ... + 39563014.

It is an arithmetic number, because the mean of its divisors is an integer number (364448662200).

Almost surely, 2^{14400111040420} is an apocalyptic number.

14400111040420 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 14400111040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493535785600).

14400111040420 is an abundant number, since it is smaller than the sum of its proper divisors (20586960530780).

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

14400111040420 is a wasteful number, since it uses less digits than its factorization.

14400111040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369157 (or 369155 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 14400111040420 its reverse (2404011100441), we get a palindrome (16804122140861).

The spelling of 14400111040420 in words is "fourteen trillion, four hundred billion, one hundred eleven million, forty thousand, four hundred twenty".