334344331031440 has 160 divisors (see below), whose sum is σ = 807639976170720. Its totient is φ = 128614171410432.

The previous prime is 334344331031419. The next prime is 334344331031449. The reversal of 334344331031440 is 44130133443433.

It can be written as a sum of positive squares in 16 ways, for example, as 42892649365504 + 291451681665936 = 6549248^2 + 17071956^2 .

It is a super-2 number, since 2×334344331031440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 334344331031393 and 334344331031402.

It is not an unprimeable number, because it can be changed into a prime (334344331031449) 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, 220038144 + ... + 221552416.

It is an arithmetic number, because the mean of its divisors is an integer number (5047749851067).

Almost surely, 2^{334344331031440} 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 334344331031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403819988085360).

334344331031440 is an abundant number, since it is smaller than the sum of its proper divisors (473295645139280).

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

334344331031440 is a wasteful number, since it uses less digits than its factorization.

334344331031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515189 (or 1515183 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 334344331031440 its reverse (44130133443433), we get a palindrome (378474464474873).

The spelling of 334344331031440 in words is "three hundred thirty-four trillion, three hundred forty-four billion, three hundred thirty-one million, thirty-one thousand, four hundred forty".