334131212131440 has 80 divisors (see below), whose sum is σ = 1036064873416608. Its totient is φ = 89079453058048.

The previous prime is 334131212131439. The next prime is 334131212131441. The reversal of 334131212131440 is 44131212131433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (334131212131439) and next prime (334131212131441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×334131212131440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334131212131441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172499799 + ... + 174426038.

Almost surely, 2^{334131212131440} is an apocalyptic number.

334131212131440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334131212131440 is an abundant number, since it is smaller than the sum of its proper divisors (701933661285168).

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

334131212131440 is a wasteful number, since it uses less digits than its factorization.

334131212131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346929866 (or 346929860 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 334131212131440 its reverse (44131212131433), we get a palindrome (378262424262873).

The spelling of 334131212131440 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred twelve million, one hundred thirty-one thousand, four hundred forty".