404314114120020 has 192 divisors, whose sum is σ = 1354734155470080. Its totient is φ = 99515459520000.

The previous prime is 404314114120019. The next prime is 404314114120099. The reversal of 404314114120020 is 20021411413404.

404314114120020 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 1 + 411 + 41 + 200 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85093170 + ... + 89718870.

It is an arithmetic number, because the mean of its divisors is an integer number (7055907059740).

Almost surely, 2^{404314114120020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404314114120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677367077735040).

404314114120020 is an abundant number, since it is smaller than the sum of its proper divisors (950420041350060).

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

404314114120020 is a wasteful number, since it uses less digits than its factorization.

404314114120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638183 (or 4638175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 404314114120020 its reverse (20021411413404), we get a palindrome (424335525533424).

The spelling of 404314114120020 in words is "four hundred four trillion, three hundred fourteen billion, one hundred fourteen million, one hundred twenty thousand, twenty".