334400422401 has 12 divisors (see below), whose sum is σ = 483265949712. Its totient is φ = 222821406936.

The previous prime is 334400422379. The next prime is 334400422403. The reversal of 334400422401 is 104224004433.

It is a happy number.

334400422401 is a `hidden beast` number, since 3 + 34 + 400 + 4 + 224 + 0 + 1 = 666.

It is not a de Polignac number, because 334400422401 - 2¹³ = 334400414209 is a prime.

It is a super-2 number, since 2×334400422401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334400422403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9331791 + ... + 9367556.

It is an arithmetic number, because the mean of its divisors is an integer number (40272162476).

Almost surely, 2^334400422401 is an apocalyptic number.

It is an amenable number.

334400422401 is a deficient number, since it is larger than the sum of its proper divisors (148865527311).

334400422401 is a wasteful number, since it uses less digits than its factorization.

334400422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18701340 (or 18701337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 334400422401 its reverse (104224004433), we get a palindrome (438624426834).

The spelling of 334400422401 in words is "three hundred thirty-four billion, four hundred million, four hundred twenty-two thousand, four hundred one".