344412121440 has 192 divisors, whose sum is σ = 1152107712000. Its totient is φ = 86239125504.

The previous prime is 344412121433. The next prime is 344412121441. The reversal of 344412121440 is 44121214443.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 344412121398 and 344412121407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344412121441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863461 + ... + 1197659.

It is an arithmetic number, because the mean of its divisors is an integer number (6000561000).

Almost surely, 2^344412121440 is an apocalyptic number.

344412121440 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 344412121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576053856000).

344412121440 is an abundant number, since it is smaller than the sum of its proper divisors (807695590560).

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

344412121440 is a wasteful number, since it uses less digits than its factorization.

344412121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334349 (or 334341 counting only the distinct ones).

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

Adding to 344412121440 its reverse (44121214443), we get a palindrome (388533335883).

The spelling of 344412121440 in words is "three hundred forty-four billion, four hundred twelve million, one hundred twenty-one thousand, four hundred forty".