4130040 has 64 divisors (see below), whose sum is σ = 12533760. Its totient is φ = 1088640.

The previous prime is 4130039. The next prime is 4130111. The reversal of 4130040 is 400314.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4129998 and 4130025.

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, 15105 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (195840).

Almost surely, 2^4130040 is an apocalyptic number.

4130040 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 4130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266880).

4130040 is an abundant number, since it is smaller than the sum of its proper divisors (8403720).

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

4130040 is a wasteful number, since it uses less digits than its factorization.

4130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4130040 is about 2032.2499846230. The cubic root of 4130040 is about 160.4420069787.

Adding to 4130040 its reverse (400314), we get a palindrome (4530354).

The spelling of 4130040 in words is "four million, one hundred thirty thousand, forty".