123421200342440 has 768 divisors, whose sum is σ = 385129709959680. Its totient is φ = 34374718586880.

The previous prime is 123421200342257. The next prime is 123421200342469. The reversal of 123421200342440 is 44243002124321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123421200342397 and 123421200342406.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8365830104 + ... + 8365844856.

It is an arithmetic number, because the mean of its divisors is an integer number (501470976510).

Almost surely, 2^{123421200342440} is an apocalyptic number.

123421200342440 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 123421200342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192564854979840).

123421200342440 is an abundant number, since it is smaller than the sum of its proper divisors (261708509617240).

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

123421200342440 is a wasteful number, since it uses less digits than its factorization.

123421200342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 14947 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 123421200342440 its reverse (44243002124321), we get a palindrome (167664202466761).

The spelling of 123421200342440 in words is "one hundred twenty-three trillion, four hundred twenty-one billion, two hundred million, three hundred forty-two thousand, four hundred forty".