335400444340 has 96 divisors (see below), whose sum is σ = 771295946400. Its totient is φ = 121756262400.

The previous prime is 335400444293. The next prime is 335400444359. The reversal of 335400444340 is 43444004533.

It can be written as a sum of positive squares in 16 ways, for example, as 272847433104 + 62553011236 = 522348^2 + 250106^2 .

It is a super-4 number, since 4×335400444340⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 335400444296 and 335400444305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61549936 + ... + 61555384.

It is an arithmetic number, because the mean of its divisors is an integer number (8034332775).

Almost surely, 2^335400444340 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 335400444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385647973200).

335400444340 is an abundant number, since it is smaller than the sum of its proper divisors (435895502060).

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

335400444340 is a wasteful number, since it uses less digits than its factorization.

335400444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 335400444340 its reverse (43444004533), we get a palindrome (378844448873).

The spelling of 335400444340 in words is "three hundred thirty-five billion, four hundred million, four hundred forty-four thousand, three hundred forty".