404425441200000 has 768 divisors, whose sum is σ = 1466391637428480. Its totient is φ = 97935974400000.

The previous prime is 404425441199993. The next prime is 404425441200073. The reversal of 404425441200000 is 2144524404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12500383824 + ... + 12500416176.

It is an arithmetic number, because the mean of its divisors is an integer number (1909364111235).

Almost surely, 2^{404425441200000} is an apocalyptic number.

404425441200000 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 404425441200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733195818714240).

404425441200000 is an abundant number, since it is smaller than the sum of its proper divisors (1061966196228480).

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

404425441200000 is an equidigital number, since it uses as much as digits as its factorization.

404425441200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33353 (or 33321 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 404425441200000 its reverse (2144524404), we get a palindrome (404427585724404).

It can be divided in two parts, 4044254 and 41200000, that added together give a palindrome (45244254).

The spelling of 404425441200000 in words is "four hundred four trillion, four hundred twenty-five billion, four hundred forty-one million, two hundred thousand".