418104492100 has 27 divisors (see below), whose sum is σ = 907300779511. Its totient is φ = 167239210400.

The previous prime is 418104492041. The next prime is 418104492103. The reversal of 418104492100 is 1294401814.

The square root of 418104492100 is 646610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 219516612676 + 198587879424 = 468526^2 + 445632^2 .

It is a super-2 number, since 2×418104492100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418104492103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6433770 + ... + 6498430.

Almost surely, 2^418104492100 is an apocalyptic number.

418104492100 is the 646610-th square number.

It is an amenable number.

418104492100 is an abundant number, since it is smaller than the sum of its proper divisors (489196287411).

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

418104492100 is an frugal number, since it uses more digits than its factorization.

418104492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129336 (or 64668 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Adding to 418104492100 its reverse (1294401814), we get a palindrome (419398893914).

The spelling of 418104492100 in words is "four hundred eighteen billion, one hundred four million, four hundred ninety-two thousand, one hundred".