14146415420 has 96 divisors (see below), whose sum is σ = 33025466880. Its totient is φ = 5065632000.

The previous prime is 14146415407. The next prime is 14146415429. The reversal of 14146415420 is 2451464141.

14146415420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146415429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715670 + ... + 735170.

It is an arithmetic number, because the mean of its divisors is an integer number (344015280).

Almost surely, 2^14146415420 is an apocalyptic number.

14146415420 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 14146415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512733440).

14146415420 is an abundant number, since it is smaller than the sum of its proper divisors (18879051460).

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

14146415420 is a wasteful number, since it uses less digits than its factorization.

14146415420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19635 (or 19633 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 14146415420 its reverse (2451464141), we get a palindrome (16597879561).

The spelling of 14146415420 in words is "fourteen billion, one hundred forty-six million, four hundred fifteen thousand, four hundred twenty".