4040513120 has 96 divisors (see below), whose sum is σ = 11088415296. Its totient is φ = 1362585600.

The previous prime is 4040513119. The next prime is 4040513161. The reversal of 4040513120 is 213150404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4040513092 and 4040513101.

It is a congruent number.

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, 38750 + ... + 97890.

It is an arithmetic number, because the mean of its divisors is an integer number (115504326).

Almost surely, 2^4040513120 is an apocalyptic number.

4040513120 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 4040513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544207648).

4040513120 is an abundant number, since it is smaller than the sum of its proper divisors (7047902176).

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

4040513120 is a wasteful number, since it uses less digits than its factorization.

4040513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59224 (or 59216 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4040513120 is about 63565.0306379223. The cubic root of 4040513120 is about 1592.7422739950.

Adding to 4040513120 its reverse (213150404), we get a palindrome (4253663524).

The spelling of 4040513120 in words is "four billion, forty million, five hundred thirteen thousand, one hundred twenty".