404221434440000 has 280 divisors, whose sum is σ = 1017373189966848. Its totient is φ = 159267306240000.

The previous prime is 404221434439961. The next prime is 404221434440003. The reversal of 404221434440000 is 44434122404.

It is a super-2 number, since 2×404221434440000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404221434440003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3172216289 + ... + 3172343711.

Almost surely, 2^{404221434440000} is an apocalyptic number.

404221434440000 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 404221434440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508686594983424).

404221434440000 is an abundant number, since it is smaller than the sum of its proper divisors (613151755526848).

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

404221434440000 is a wasteful number, since it uses less digits than its factorization.

404221434440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128643 (or 128618 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 404221434440000 its reverse (44434122404), we get a palindrome (404265868562404).

The spelling of 404221434440000 in words is "four hundred four trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred forty thousand".