404544012000 has 192 divisors, whose sum is σ = 1334965230144. Its totient is φ = 107090534400.

The previous prime is 404544011969. The next prime is 404544012029. The reversal of 404544012000 is 210445404.

It is a happy number.

It is a super-2 number, since 2×404544012000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520964 + ... + 1767036.

It is an arithmetic number, because the mean of its divisors is an integer number (6952943907).

Almost surely, 2^404544012000 is an apocalyptic number.

404544012000 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 404544012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667482615072).

404544012000 is an abundant number, since it is smaller than the sum of its proper divisors (930421218144).

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

404544012000 is a wasteful number, since it uses less digits than its factorization.

404544012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246238 (or 246220 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 404544012000 its reverse (210445404), we get a palindrome (404754457404).

The spelling of 404544012000 in words is "four hundred four billion, five hundred forty-four million, twelve thousand".