404933242368 has 160 divisors (see below), whose sum is σ = 1111491136800. Its totient is φ = 130940665856.

The previous prime is 404933242361. The next prime is 404933242393. The reversal of 404933242368 is 863242339404.

404933242368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×404933242368² (a number of 24 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 (404933242361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7217368 + ... + 7273256.

It is an arithmetic number, because the mean of its divisors is an integer number (6946819605).

Almost surely, 2^404933242368 is an apocalyptic number.

404933242368 is a gapful number since it is divisible by the number (48) 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 404933242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555745568400).

404933242368 is an abundant number, since it is smaller than the sum of its proper divisors (706557894432).

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

404933242368 is an equidigital number, since it uses as much as digits as its factorization.

404933242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56052 (or 56036 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 404933242368 in words is "four hundred four billion, nine hundred thirty-three million, two hundred forty-two thousand, three hundred sixty-eight".