344301201301420 has 192 divisors, whose sum is σ = 849367618444800. Its totient is φ = 115831425904640.

The previous prime is 344301201301397. The next prime is 344301201301423. The reversal of 344301201301420 is 24103102103443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (344301201301423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4646841894 + ... + 4646915986.

It is an arithmetic number, because the mean of its divisors is an integer number (4423789679400).

Almost surely, 2^{344301201301420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344301201301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424683809222400).

344301201301420 is an abundant number, since it is smaller than the sum of its proper divisors (505066417143380).

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

344301201301420 is a wasteful number, since it uses less digits than its factorization.

344301201301420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95248 (or 95246 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344301201301420 its reverse (24103102103443), we get a palindrome (368404303404863).

The spelling of 344301201301420 in words is "three hundred forty-four trillion, three hundred one billion, two hundred one million, three hundred one thousand, four hundred twenty".