404105749632 has 384 divisors, whose sum is σ = 1312204508160. Its totient is φ = 123046428672.

The previous prime is 404105749591. The next prime is 404105749657. The reversal of 404105749632 is 236947501404.

404105749632 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 0 + 5 + 7 + 4 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39216993 + ... + 39227295.

It is an arithmetic number, because the mean of its divisors is an integer number (3417199240).

Almost surely, 2^404105749632 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 404105749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656102254080).

404105749632 is an abundant number, since it is smaller than the sum of its proper divisors (908098758528).

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

404105749632 is a wasteful number, since it uses less digits than its factorization.

404105749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 404105749632 in words is "four hundred four billion, one hundred five million, seven hundred forty-nine thousand, six hundred thirty-two".