405420200100 has 216 divisors, whose sum is σ = 1318516104360. Its totient is φ = 104072048640.

The previous prime is 405420200089. The next prime is 405420200113. The reversal of 405420200100 is 1002024504.

405420200100 is a `hidden beast` number, since 4 + 0 + 542 + 0 + 20 + 0 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 147055376484 + 258364823616 = 383478^2 + 508296^2 .

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8772654 + ... + 8818746.

Almost surely, 2^405420200100 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 405420200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659258052180).

405420200100 is an abundant number, since it is smaller than the sum of its proper divisors (913095904260).

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

405420200100 is a wasteful number, since it uses less digits than its factorization.

405420200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46479 (or 46469 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 405420200100 its reverse (1002024504), we get a palindrome (406422224604).

The spelling of 405420200100 in words is "four hundred five billion, four hundred twenty million, two hundred thousand, one hundred".