4181013120 has 256 divisors, whose sum is σ = 13713598080. Its totient is φ = 1083064320.

The previous prime is 4181013113. The next prime is 4181013191. The reversal of 4181013120 is 213101814.

It is a happy number.

It is a super-2 number, since 2×4181013120² = 34961741419224268800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18418447 + ... + 18418673.

Almost surely, 2^4181013120 is an apocalyptic number.

4181013120 is a gapful number since it is divisible by the number (40) 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 4181013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856799040).

4181013120 is an abundant number, since it is smaller than the sum of its proper divisors (9532584960).

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

4181013120 is a wasteful number, since it uses less digits than its factorization.

4181013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 4181013120 is about 64660.7540939634. The cubic root of 4181013120 is about 1610.9937051857.

Adding to 4181013120 its reverse (213101814), we get a palindrome (4394114934).

The spelling of 4181013120 in words is "four billion, one hundred eighty-one million, thirteen thousand, one hundred twenty".