4181119488 has 480 divisors, whose sum is σ = 15192777600. Its totient is φ = 1084022784.

The previous prime is 4181119447. The next prime is 4181119489. The reversal of 4181119488 is 8849111814.

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 (4181119489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70866403 + ... + 70866461.

It is an arithmetic number, because the mean of its divisors is an integer number (31651620).

Almost surely, 2^4181119488 is an apocalyptic number.

4181119488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181119488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596388800).

4181119488 is an abundant number, since it is smaller than the sum of its proper divisors (11011658112).

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

4181119488 is an equidigital number, since it uses as much as digits as its factorization.

4181119488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 4181119488 is about 64661.5765969250. The cubic root of 4181119488 is about 1611.0073666851.

The spelling of 4181119488 in words is "four billion, one hundred eighty-one million, one hundred nineteen thousand, four hundred eighty-eight".