416141108100 has 81 divisors (see below), whose sum is σ = 1304431847173. Its totient is φ = 110965801440.

The previous prime is 416141108017. The next prime is 416141108101. The reversal of 416141108100 is 1801141614.

The square root of 416141108100 is 645090.

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

416141108100 is a `hidden beast` number, since 41 + 614 + 1 + 1 + 0 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149810798916 + 266330309184 = 387054^2 + 516072^2 .

It is a super-3 number, since 3×416141108100³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416141108101) 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, 19341949 + ... + 19363451.

Almost surely, 2^416141108100 is an apocalyptic number.

416141108100 is the 645090-th square number.

It is an amenable number.

416141108100 is an abundant number, since it is smaller than the sum of its proper divisors (888290739073).

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

416141108100 is an equidigital number, since it uses as much as digits as its factorization.

416141108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43026 (or 21513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 416141108100 its reverse (1801141614), we get a palindrome (417942249714).

The spelling of 416141108100 in words is "four hundred sixteen billion, one hundred forty-one million, one hundred eight thousand, one hundred".