14415122400420 has 96 divisors (see below), whose sum is σ = 46129518489600. Its totient is φ = 3294804633984.

The previous prime is 14415122400323. The next prime is 14415122400487. The reversal of 14415122400420 is 2400422151441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17729161 + ... + 18524399.

It is an arithmetic number, because the mean of its divisors is an integer number (480515817600).

Almost surely, 2^{14415122400420} is an apocalyptic number.

14415122400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14415122400420 is an abundant number, since it is smaller than the sum of its proper divisors (31714396089180).

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

14415122400420 is a wasteful number, since it uses less digits than its factorization.

14415122400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838417 (or 838415 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 14415122400420 its reverse (2400422151441), we get a palindrome (16815544551861).

The spelling of 14415122400420 in words is "fourteen trillion, four hundred fifteen billion, one hundred twenty-two million, four hundred thousand, four hundred twenty".