404244420240 has 80 divisors (see below), whose sum is σ = 1255620081600. Its totient is φ = 107586694656.

The previous prime is 404244420199. The next prime is 404244420241. The reversal of 404244420240 is 42024442404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 404244420198 and 404244420207.

It is not an unprimeable number, because it can be changed into a prime (404244420241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532410 + ... + 1776729.

It is an arithmetic number, because the mean of its divisors is an integer number (15695251020).

Almost surely, 2^404244420240 is an apocalyptic number.

404244420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404244420240 is an abundant number, since it is smaller than the sum of its proper divisors (851375661360).

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

404244420240 is a wasteful number, since it uses less digits than its factorization.

404244420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309664 (or 3309658 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 404244420240 its reverse (42024442404), we get a palindrome (446268862644).

The spelling of 404244420240 in words is "four hundred four billion, two hundred forty-four million, four hundred twenty thousand, two hundred forty".