404040424052320 has 384 divisors, whose sum is σ = 1059472030159872. Its totient is φ = 144377456025600.

The previous prime is 404040424052269. The next prime is 404040424052411. The reversal of 404040424052320 is 23250424040404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52087197882 + ... + 52087205638.

It is an arithmetic number, because the mean of its divisors is an integer number (2759041745208).

Almost surely, 2^{404040424052320} is an apocalyptic number.

404040424052320 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 404040424052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529736015079936).

404040424052320 is an abundant number, since it is smaller than the sum of its proper divisors (655431606107552).

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

404040424052320 is a wasteful number, since it uses less digits than its factorization.

404040424052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 404040424052320 its reverse (23250424040404), we get a palindrome (427290848092724).

The spelling of 404040424052320 in words is "four hundred four trillion, forty billion, four hundred twenty-four million, fifty-two thousand, three hundred twenty".