4011813120 has 144 divisors (see below), whose sum is σ = 14643216000. Its totient is φ = 916979712.

The previous prime is 4011813103. The next prime is 4011813151. The reversal of 4011813120 is 213181104.

It is a happy number.

4011813120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47745 + ... + 101504.

It is an arithmetic number, because the mean of its divisors is an integer number (101689000).

Almost surely, 2^4011813120 is an apocalyptic number.

4011813120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4011813120 is an abundant number, since it is smaller than the sum of its proper divisors (10631402880).

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

4011813120 is a wasteful number, since it uses less digits than its factorization.

4011813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149280 (or 149266 counting only the distinct ones).

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

The square root of 4011813120 is about 63338.8752663007. The cubic root of 4011813120 is about 1588.9621960697.

Adding to 4011813120 its reverse (213181104), we get a palindrome (4224994224).

The spelling of 4011813120 in words is "four billion, eleven million, eight hundred thirteen thousand, one hundred twenty".