334000414023040 has 64 divisors (see below), whose sum is σ = 800057155534560. Its totient is φ = 133334558789632.

The previous prime is 334000414023013. The next prime is 334000414023041. The reversal of 334000414023040 is 40320414000433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×334000414023040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334000414023041) 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 7 ways as a sum of consecutive naturals, for example, 518441149 + ... + 519084988.

Almost surely, 2^{334000414023040} is an apocalyptic number.

It is an amenable number.

334000414023040 is an abundant number, since it is smaller than the sum of its proper divisors (466056741511520).

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

334000414023040 is a wasteful number, since it uses less digits than its factorization.

334000414023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037526659 (or 1037526647 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 334000414023040 its reverse (40320414000433), we get a palindrome (374320828023473).

The spelling of 334000414023040 in words is "three hundred thirty-four trillion, four hundred fourteen million, twenty-three thousand, forty".