404214540100 has 288 divisors, whose sum is σ = 1059942159360. Its totient is φ = 130918602240.

The previous prime is 404214540097. The next prime is 404214540157. The reversal of 404214540100 is 1045412404.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 95 ways as a sum of consecutive naturals, for example, 126830707 + ... + 126833893.

It is an arithmetic number, because the mean of its divisors is an integer number (3680354720).

Almost surely, 2^404214540100 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 404214540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529971079680).

404214540100 is an abundant number, since it is smaller than the sum of its proper divisors (655727619260).

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

404214540100 is a wasteful number, since it uses less digits than its factorization.

404214540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 404214540100 its reverse (1045412404), we get a palindrome (405259952504).

The spelling of 404214540100 in words is "four hundred four billion, two hundred fourteen million, five hundred forty thousand, one hundred".