9405200904100 has 81 divisors (see below), whose sum is σ = 21541328897571. Its totient is φ = 3563855323200.

The previous prime is 9405200904089. The next prime is 9405200904101. The reversal of 9405200904100 is 14090025049.

The square root of 9405200904100 is 3066790.

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 507818712996 + 8897382191104 = 712614^2 + 2982848^2 .

It is a super-3 number, since 3×9405200904100³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9405200904101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 582682030 + ... + 582698170.

Almost surely, 2^{9405200904100} is an apocalyptic number.

9405200904100 is the 3066790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9405200904100

9405200904100 is an abundant number, since it is smaller than the sum of its proper divisors (12136127993471).

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

9405200904100 is an equidigital number, since it uses as much as digits as its factorization.

9405200904100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32334 (or 16167 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 9405200904100 its reverse (14090025049), we get a palindrome (9419290929149).

The spelling of 9405200904100 in words is "nine trillion, four hundred five billion, two hundred million, nine hundred four thousand, one hundred".