334221311440 has 40 divisors (see below), whose sum is σ = 791726154408. Its totient is φ = 131166097920.

The previous prime is 334221311419. The next prime is 334221311447. The reversal of 334221311440 is 44113122433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49436854336 + 284784457104 = 222344^2 + 533652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×334221311440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334221311399 and 334221311408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334221311447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39408651 + ... + 39417130.

Almost surely, 2^334221311440 is an apocalyptic number.

It is an amenable number.

334221311440 is an abundant number, since it is smaller than the sum of its proper divisors (457504842968).

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

334221311440 is a wasteful number, since it uses less digits than its factorization.

334221311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78825847 (or 78825841 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 334221311440 its reverse (44113122433), we get a palindrome (378334433873).

The spelling of 334221311440 in words is "three hundred thirty-four billion, two hundred twenty-one million, three hundred eleven thousand, four hundred forty".