404103168000 has 1632 divisors, whose sum is σ = 1786256559360. Its totient is φ = 89181388800.

The previous prime is 404103167987. The next prime is 404103168023. The reversal of 404103168000 is 861301404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13934591986 + ... + 13934592014.

Almost surely, 2^404103168000 is an apocalyptic number.

404103168000 is a gapful number since it is divisible by the number (40) 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 404103168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893128279680).

404103168000 is an abundant number, since it is smaller than the sum of its proper divisors (1382153391360).

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

404103168000 is an frugal number, since it uses more digits than its factorization.

404103168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 404103168000 its reverse (861301404), we get a palindrome (404964469404).

The spelling of 404103168000 in words is "four hundred four billion, one hundred three million, one hundred sixty-eight thousand".