404201114100 has 216 divisors, whose sum is σ = 1448787966080. Its totient is φ = 92334608640.

The previous prime is 404201114071. The next prime is 404201114101. The reversal of 404201114100 is 1411102404.

404201114100 is a `hidden beast` number, since 40 + 4 + 201 + 11 + 410 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404201114101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11252769 + ... + 11288631.

Almost surely, 2^404201114100 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 404201114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724393983040).

404201114100 is an abundant number, since it is smaller than the sum of its proper divisors (1044586851980).

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

404201114100 is a wasteful number, since it uses less digits than its factorization.

404201114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37679 (or 37669 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 404201114100 its reverse (1411102404), we get a palindrome (405612216504).

The spelling of 404201114100 in words is "four hundred four billion, two hundred one million, one hundred fourteen thousand, one hundred".