4181114240 has 32 divisors (see below), whose sum is σ = 9995477760. Its totient is φ = 1672445440.

The previous prime is 4181114227. The next prime is 4181114251. The reversal of 4181114240 is 424111814.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×4181114240³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3265856 + ... + 3267135.

It is an arithmetic number, because the mean of its divisors is an integer number (312358680).

Almost surely, 2^4181114240 is an apocalyptic number.

4181114240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4181114240 is an abundant number, since it is smaller than the sum of its proper divisors (5814363520).

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

4181114240 is an equidigital number, since it uses as much as digits as its factorization.

4181114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533010 (or 6532998 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 4181114240 is about 64661.5360163985. The cubic root of 4181114240 is about 1611.0066926575.

The spelling of 4181114240 in words is "four billion, one hundred eighty-one million, one hundred fourteen thousand, two hundred forty".