404311454054334 has 96 divisors (see below), whose sum is σ = 929349680688000. Its totient is φ = 126675828901440.

The previous prime is 404311454054297. The next prime is 404311454054381. The reversal of 404311454054334 is 433450454113404.

404311454054334 is a `hidden beast` number, since 4 + 0 + 4 + 31 + 1 + 4 + 5 + 40 + 543 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 404311454054334.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 211094517 + ... + 213001215.

It is an arithmetic number, because the mean of its divisors is an integer number (9680725840500).

Almost surely, 2^{404311454054334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404311454054334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464674840344000).

404311454054334 is an abundant number, since it is smaller than the sum of its proper divisors (525038226633666).

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

404311454054334 is a wasteful number, since it uses less digits than its factorization.

404311454054334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911590 (or 1911587 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 404311454054334 in words is "four hundred four trillion, three hundred eleven billion, four hundred fifty-four million, fifty-four thousand, three hundred thirty-four".