404715406464 has 192 divisors, whose sum is σ = 1171967596800. Its totient is φ = 134055751680.

The previous prime is 404715406463. The next prime is 404715406531. The reversal of 404715406464 is 464604517404.

404715406464 is a `hidden beast` number, since 4 + 0 + 47 + 1 + 540 + 6 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (404715406463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137050812 + ... + 137053764.

It is an arithmetic number, because the mean of its divisors is an integer number (6103997900).

Almost surely, 2^404715406464 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 404715406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585983798400).

404715406464 is an abundant number, since it is smaller than the sum of its proper divisors (767252190336).

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

404715406464 is a wasteful number, since it uses less digits than its factorization.

404715406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 404715406464 in words is "four hundred four billion, seven hundred fifteen million, four hundred six thousand, four hundred sixty-four".