404305540452240 has 160 divisors (see below), whose sum is σ = 1433202858312960. Its totient is φ = 92360689385472.

The previous prime is 404305540452139. The next prime is 404305540452241. The reversal of 404305540452240 is 42254045503404.

It is a super-3 number, since 3×404305540452240³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 404305540452192 and 404305540452201.

It is not an unprimeable number, because it can be changed into a prime (404305540452241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64729345 + ... + 70700064.

It is an arithmetic number, because the mean of its divisors is an integer number (8957517864456).

Almost surely, 2^{404305540452240} is an apocalyptic number.

404305540452240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404305540452240 is an abundant number, since it is smaller than the sum of its proper divisors (1028897317860720).

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

404305540452240 is a wasteful number, since it uses less digits than its factorization.

404305540452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135431209 (or 135431203 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

Adding to 404305540452240 its reverse (42254045503404), we get a palindrome (446559585955644).

The spelling of 404305540452240 in words is "four hundred four trillion, three hundred five billion, five hundred forty million, four hundred fifty-two thousand, two hundred forty".