404240646400 has 108 divisors (see below), whose sum is σ = 1001003435152. Its totient is φ = 161624401920.

The previous prime is 404240646379. The next prime is 404240646409. The reversal of 404240646400 is 4646042404.

It is not an unprimeable number, because it can be changed into a prime (404240646409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15775999 + ... + 15801601.

Almost surely, 2^404240646400 is an apocalyptic number.

404240646400 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 404240646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500501717576).

404240646400 is an abundant number, since it is smaller than the sum of its proper divisors (596762788752).

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

404240646400 is a wasteful number, since it uses less digits than its factorization.

404240646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28096 (or 28077 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 404240646400 its reverse (4646042404), we get a palindrome (408886688804).

The spelling of 404240646400 in words is "four hundred four billion, two hundred forty million, six hundred forty-six thousand, four hundred".