344121021420 has 384 divisors, whose sum is σ = 1138679119872. Its totient is φ = 76808371200.

The previous prime is 344121021403. The next prime is 344121021421. The reversal of 344121021420 is 24120121443.

It is not an unprimeable number, because it can be changed into a prime (344121021421) 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 127 ways as a sum of consecutive naturals, for example, 43517107 + ... + 43525013.

It is an arithmetic number, because the mean of its divisors is an integer number (2965310208).

Almost surely, 2^344121021420 is an apocalyptic number.

344121021420 is a gapful number since it is divisible by the number (30) 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 344121021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569339559936).

344121021420 is an abundant number, since it is smaller than the sum of its proper divisors (794558098452).

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

344121021420 is a wasteful number, since it uses less digits than its factorization.

344121021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061 (or 8059 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 344121021420 its reverse (24120121443), we get a palindrome (368241142863).

The spelling of 344121021420 in words is "three hundred forty-four billion, one hundred twenty-one million, twenty-one thousand, four hundred twenty".