334040440400 has 60 divisors (see below), whose sum is σ = 802594633632. Its totient is φ = 133605774720.

The previous prime is 334040440399. The next prime is 334040440403. The reversal of 334040440400 is 4044040433.

It is a super-2 number, since 2×334040440400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334040440400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334040440403) 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 11 ways as a sum of consecutive naturals, for example, 7025507 + ... + 7072893.

Almost surely, 2^334040440400 is an apocalyptic number.

It is an amenable number.

334040440400 is an abundant number, since it is smaller than the sum of its proper divisors (468554193232).

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

334040440400 is a wasteful number, since it uses less digits than its factorization.

334040440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65028 (or 65017 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 334040440400 its reverse (4044040433), we get a palindrome (338084480833).

The spelling of 334040440400 in words is "three hundred thirty-four billion, forty million, four hundred forty thousand, four hundred".