334401411322413 has 96 divisors (see below), whose sum is σ = 528253519872000. Its totient is φ = 203062689659520.

The previous prime is 334401411322399. The next prime is 334401411322487. The reversal of 334401411322413 is 314223114104433.

334401411322413 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 0 + 1 + 411 + 3 + 224 + 13 = 666.

It is not a de Polignac number, because 334401411322413 - 2¹⁴ = 334401411306029 is a prime.

It is a super-2 number, since 2×334401411322413² (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 (334401411322213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2513492748 + ... + 2513625786.

It is an arithmetic number, because the mean of its divisors is an integer number (5502640832000).

Almost surely, 2^{334401411322413} is an apocalyptic number.

It is an amenable number.

334401411322413 is a deficient number, since it is larger than the sum of its proper divisors (193852108549587).

334401411322413 is a wasteful number, since it uses less digits than its factorization.

334401411322413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136167 (or 136164 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 334401411322413 its reverse (314223114104433), we get a palindrome (648624525426846).

The spelling of 334401411322413 in words is "three hundred thirty-four trillion, four hundred one billion, four hundred eleven million, three hundred twenty-two thousand, four hundred thirteen".