334042120544 has 96 divisors (see below), whose sum is σ = 735639480576. Its totient is φ = 147998430720.

The previous prime is 334042120493. The next prime is 334042120591. The reversal of 334042120544 is 445021240433.

It is a super-2 number, since 2×334042120544² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 334042120544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7348574 + ... + 7393890.

It is an arithmetic number, because the mean of its divisors is an integer number (7662911256).

Almost surely, 2^334042120544 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 334042120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367819740288).

334042120544 is an abundant number, since it is smaller than the sum of its proper divisors (401597360032).

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

334042120544 is a wasteful number, since it uses less digits than its factorization.

334042120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45868 (or 45860 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 334042120544 its reverse (445021240433), we get a palindrome (779063360977).

The spelling of 334042120544 in words is "three hundred thirty-four billion, forty-two million, one hundred twenty thousand, five hundred forty-four".