404224200240 has 80 divisors (see below), whose sum is σ = 1432108601088. Its totient is φ = 92394102528.

The previous prime is 404224200239. The next prime is 404224200241. The reversal of 404224200240 is 42002422404.

It is an interprime number because it is at equal distance from previous prime (404224200239) and next prime (404224200241).

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

It is a super-3 number, since 3×404224200240³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404224200240.

It is not an unprimeable number, because it can be changed into a prime (404224200241) 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, 120303142 + ... + 120306501.

Almost surely, 2^404224200240 is an apocalyptic number.

404224200240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404224200240 is an abundant number, since it is smaller than the sum of its proper divisors (1027884400848).

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

404224200240 is a wasteful number, since it uses less digits than its factorization.

404224200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240609666 (or 240609660 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404224200240 its reverse (42002422404), we get a palindrome (446226622644).

The spelling of 404224200240 in words is "four hundred four billion, two hundred twenty-four million, two hundred thousand, two hundred forty".