4041003120 has 480 divisors, whose sum is σ = 15971644416. Its totient is φ = 827228160.

The previous prime is 4041003103. The next prime is 4041003203. The reversal of 4041003120 is 213001404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4041003120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20937744 + ... + 20937936.

Almost surely, 2^4041003120 is an apocalyptic number.

4041003120 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 4041003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985822208).

4041003120 is an abundant number, since it is smaller than the sum of its proper divisors (11930641296).

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

4041003120 is a wasteful number, since it uses less digits than its factorization.

4041003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4041003120 is about 63568.8848415638. The cubic root of 4041003120 is about 1592.8066562607.

Adding to 4041003120 its reverse (213001404), we get a palindrome (4254004524).

The spelling of 4041003120 in words is "four billion, forty-one million, three thousand, one hundred twenty".