334334123141440 has 448 divisors, whose sum is σ = 851834791526400. Its totient is φ = 124780300001280.

The previous prime is 334334123141383. The next prime is 334334123141509. The reversal of 334334123141440 is 44141321433433.

It is a super-2 number, since 2×334334123141440² (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 = 334334123141393 and 334334123141402.

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 63 ways as a sum of consecutive naturals, for example, 10780435374 + ... + 10780466386.

Almost surely, 2^{334334123141440} 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 334334123141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425917395763200).

334334123141440 is an abundant number, since it is smaller than the sum of its proper divisors (517500668384960).

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

334334123141440 is a wasteful number, since it uses less digits than its factorization.

334334123141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31430 (or 31420 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 334334123141440 its reverse (44141321433433), we get a palindrome (378475444574873).

The spelling of 334334123141440 in words is "three hundred thirty-four trillion, three hundred thirty-four billion, one hundred twenty-three million, one hundred forty-one thousand, four hundred forty".