404436360864 has 96 divisors (see below), whose sum is σ = 1122533959680. Its totient is φ = 127143896832.

The previous prime is 404436360827. The next prime is 404436360871. The reversal of 404436360864 is 468063634404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90402 + ... + 903905.

It is an arithmetic number, because the mean of its divisors is an integer number (11693062080).

Almost surely, 2^404436360864 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 404436360864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561266979840).

404436360864 is an abundant number, since it is smaller than the sum of its proper divisors (718097598816).

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

404436360864 is a wasteful number, since it uses less digits than its factorization.

404436360864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994562 (or 994554 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 404436360864 in words is "four hundred four billion, four hundred thirty-six million, three hundred sixty thousand, eight hundred sixty-four".