344033320142040 has 256 divisors, whose sum is σ = 1067562475315200. Its totient is φ = 88602132787200.

The previous prime is 344033320142027. The next prime is 344033320142059. The reversal of 344033320142040 is 40241023330443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 344033320141992 and 344033320142010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8346048630 + ... + 8346089850.

It is an arithmetic number, because the mean of its divisors is an integer number (4170165919200).

Almost surely, 2^{344033320142040} is an apocalyptic number.

344033320142040 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 344033320142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533781237657600).

344033320142040 is an abundant number, since it is smaller than the sum of its proper divisors (723529155173160).

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

344033320142040 is a wasteful number, since it uses less digits than its factorization.

344033320142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45778 (or 45774 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 344033320142040 its reverse (40241023330443), we get a palindrome (384274343472483).

The spelling of 344033320142040 in words is "three hundred forty-four trillion, thirty-three billion, three hundred twenty million, one hundred forty-two thousand, forty".