413311133001104 has 320 divisors, whose sum is σ = 920589346510848. Its totient is φ = 178376679014400.

The previous prime is 413311133001101. The next prime is 413311133001161. The reversal of 413311133001104 is 401100331113314.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (413311133001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40076707052 + ... + 40076717364.

Almost surely, 2^{413311133001104} 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 413311133001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460294673255424).

413311133001104 is an abundant number, since it is smaller than the sum of its proper divisors (507278213509744).

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

413311133001104 is a wasteful number, since it uses less digits than its factorization.

413311133001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11540 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 413311133001104 its reverse (401100331113314), we get a palindrome (814411464114418).

The spelling of 413311133001104 in words is "four hundred thirteen trillion, three hundred eleven billion, one hundred thirty-three million, one thousand, one hundred four".