404834669568 has 792 divisors, whose sum is σ = 1481636613600. Its totient is φ = 105735684096.

The previous prime is 404834669563. The next prime is 404834669599. The reversal of 404834669568 is 865966438404.

404834669568 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 3 + 4 + 6 + 69 + 568 = 666.

It is a super-2 number, since 2×404834669568² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404834669563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248821971 + ... + 248823597.

It is an arithmetic number, because the mean of its divisors is an integer number (1870753300).

Almost surely, 2^404834669568 is an apocalyptic number.

404834669568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404834669568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740818306800).

404834669568 is an abundant number, since it is smaller than the sum of its proper divisors (1076801944032).

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

404834669568 is a wasteful number, since it uses less digits than its factorization.

404834669568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 404834669568 in words is "four hundred four billion, eight hundred thirty-four million, six hundred sixty-nine thousand, five hundred sixty-eight".