13414422210420 has 288 divisors, whose sum is σ = 47738954866176. Its totient is φ = 2783073081600.

The previous prime is 13414422210403. The next prime is 13414422210473. The reversal of 13414422210420 is 2401222441431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20472075 + ... + 21117165.

It is an arithmetic number, because the mean of its divisors is an integer number (165760259952).

Almost surely, 2^{13414422210420} is an apocalyptic number.

13414422210420 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 13414422210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23869477433088).

13414422210420 is an abundant number, since it is smaller than the sum of its proper divisors (34324532655756).

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

13414422210420 is a wasteful number, since it uses less digits than its factorization.

13414422210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645771 (or 645762 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 13414422210420 its reverse (2401222441431), we get a palindrome (15815644651851).

The spelling of 13414422210420 in words is "thirteen trillion, four hundred fourteen billion, four hundred twenty-two million, two hundred ten thousand, four hundred twenty".