404424540436224 has 576 divisors, whose sum is σ = 1355143100129280. Its totient is φ = 104014184693760.

The previous prime is 404424540436153. The next prime is 404424540436229. The reversal of 404424540436224 is 422634045424404.

It is a super-2 number, since 2×404424540436224² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404424540436229) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10358419647 + ... + 10358458689.

It is an arithmetic number, because the mean of its divisors is an integer number (2352678993280).

Almost surely, 2^{404424540436224} is an apocalyptic number.

404424540436224 is a gapful number since it is divisible by the number (44) 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 404424540436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677571550064640).

404424540436224 is an abundant number, since it is smaller than the sum of its proper divisors (950718559693056).

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

404424540436224 is a wasteful number, since it uses less digits than its factorization.

404424540436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40796 (or 40782 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 48.

The spelling of 404424540436224 in words is "four hundred four trillion, four hundred twenty-four billion, five hundred forty million, four hundred thirty-six thousand, two hundred twenty-four".