4088061120 has 448 divisors, whose sum is σ = 15456139776. Its totient is φ = 902430720.

The previous prime is 4088061097. The next prime is 4088061151. The reversal of 4088061120 is 211608804.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 13316007 + ... + 13316313.

It is an arithmetic number, because the mean of its divisors is an integer number (34500312).

Almost surely, 2^4088061120 is an apocalyptic number.

4088061120 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 4088061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728069888).

4088061120 is an abundant number, since it is smaller than the sum of its proper divisors (11368078656).

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

4088061120 is a wasteful number, since it uses less digits than its factorization.

4088061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 4088061120 is about 63937.9474177894. The cubic root of 4088061120 is about 1598.9656231010.

Adding to 4088061120 its reverse (211608804), we get a palindrome (4299669924).

The spelling of 4088061120 in words is "four billion, eighty-eight million, sixty-one thousand, one hundred twenty".