41416818431112 has 24 divisors (see below), whose sum is σ = 112170549917790. Its totient is φ = 13805606143680.

The previous prime is 41416818431111. The next prime is 41416818431129. The reversal of 41416818431112 is 21113481861414.

41416818431112 is a `hidden beast` number, since 4 + 1 + 41 + 68 + 1 + 8 + 431 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34921079272836 + 6495739158276 = 5909406^2 + 2548674^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×41416818431112³ (a number of 42 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41416818431111) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 287616794589 + ... + 287616794732.

Almost surely, 2^{41416818431112} is an apocalyptic number.

It is an amenable number.

41416818431112 is an abundant number, since it is smaller than the sum of its proper divisors (70753731486678).

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

41416818431112 is a wasteful number, since it uses less digits than its factorization.

41416818431112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575233589333 (or 575233589326 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 41416818431112 in words is "forty-one trillion, four hundred sixteen billion, eight hundred eighteen million, four hundred thirty-one thousand, one hundred twelve".