404110200420864 has 640 divisors, whose sum is σ = 1412972049477120. Its totient is φ = 111623821590528.

The previous prime is 404110200420841. The next prime is 404110200420911. The reversal of 404110200420864 is 468024002011404.

404110200420864 is a `hidden beast` number, since 40 + 4 + 110 + 2 + 0 + 0 + 420 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561765864 + ... + 562484760.

It is an arithmetic number, because the mean of its divisors is an integer number (2207768827308).

Almost surely, 2^{404110200420864} 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 404110200420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706486024738560).

404110200420864 is an abundant number, since it is smaller than the sum of its proper divisors (1008861849056256).

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

404110200420864 is a wasteful number, since it uses less digits than its factorization.

404110200420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719125 (or 719103 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 404110200420864 in words is "four hundred four trillion, one hundred ten billion, two hundred million, four hundred twenty thousand, eight hundred sixty-four".