404100220410 has 224 divisors, whose sum is σ = 1115884097280. Its totient is φ = 105267786624.

The previous prime is 404100220409. The next prime is 404100220427. The reversal of 404100220410 is 14022001404.

404100220410 is a `hidden beast` number, since 40 + 410 + 0 + 2 + 204 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 294318484 + ... + 294319856.

Almost surely, 2^404100220410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404100220410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557942048640).

404100220410 is an abundant number, since it is smaller than the sum of its proper divisors (711783876870).

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

404100220410 is a wasteful number, since it uses less digits than its factorization.

404100220410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 404100220410 its reverse (14022001404), we get a palindrome (418122221814).

The spelling of 404100220410 in words is "four hundred four billion, one hundred million, two hundred twenty thousand, four hundred ten".