4130519040 has 144 divisors (see below), whose sum is σ = 14315956200. Its totient is φ = 1101447168.

The previous prime is 4130518991. The next prime is 4130519051. The reversal of 4130519040 is 409150314.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4130519040² = 34122375079605043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4130518995 and 4130519013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69751 + ... + 114569.

Almost surely, 2^4130519040 is an apocalyptic number.

4130519040 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 4130519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157978100).

4130519040 is an abundant number, since it is smaller than the sum of its proper divisors (10185437160).

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

4130519040 is a wasteful number, since it uses less digits than its factorization.

4130519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44852 (or 44829 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4130519040 is about 64269.1141995905. The cubic root of 4130519040 is about 1604.4820991843.

Adding to 4130519040 its reverse (409150314), we get a palindrome (4539669354).

The spelling of 4130519040 in words is "four billion, one hundred thirty million, five hundred nineteen thousand, forty".