404442514523412 has 240 divisors, whose sum is σ = 1121905572480000. Its totient is φ = 126609823097856.

The previous prime is 404442514523357. The next prime is 404442514523431. The reversal of 404442514523412 is 214325415244404.

404442514523412 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 4 + 251 + 4 + 52 + 341 + 2 = 666.

It is a super-3 number, since 3×404442514523412³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18725046589 + ... + 18725068187.

It is an arithmetic number, because the mean of its divisors is an integer number (4674606552000).

Almost surely, 2^{404442514523412} 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 404442514523412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560952786240000).

404442514523412 is an abundant number, since it is smaller than the sum of its proper divisors (717463057956588).

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

404442514523412 is a wasteful number, since it uses less digits than its factorization.

404442514523412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28809 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 404442514523412 its reverse (214325415244404), we get a palindrome (618767929767816).

The spelling of 404442514523412 in words is "four hundred four trillion, four hundred forty-two billion, five hundred fourteen million, five hundred twenty-three thousand, four hundred twelve".