344102131113400 has 576 divisors, whose sum is σ = 935657083801440. Its totient is φ = 117193494528000.

The previous prime is 344102131113373. The next prime is 344102131113431. The reversal of 344102131113400 is 4311131201443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103302949735 + ... + 103302953065.

Almost surely, 2^{344102131113400} 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 344102131113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467828541900720).

344102131113400 is an abundant number, since it is smaller than the sum of its proper divisors (591554952688040).

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

344102131113400 is a wasteful number, since it uses less digits than its factorization.

344102131113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 344102131113400 its reverse (4311131201443), we get a palindrome (348413262314843).

The spelling of 344102131113400 in words is "three hundred forty-four trillion, one hundred two billion, one hundred thirty-one million, one hundred thirteen thousand, four hundred".