4130707840 has 256 divisors, whose sum is σ = 11907072000. Its totient is φ = 1368299520.

The previous prime is 4130707813. The next prime is 4130707859. The reversal of 4130707840 is 487070314.

It is a junction number, because it is equal to n+sod(n) for n = 4130707796 and 4130707805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6804817 + ... + 6805423.

It is an arithmetic number, because the mean of its divisors is an integer number (46512000).

Almost surely, 2^4130707840 is an apocalyptic number.

4130707840 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 4130707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953536000).

4130707840 is an abundant number, since it is smaller than the sum of its proper divisors (7776364160).

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

4130707840 is an equidigital number, since it uses as much as digits as its factorization.

4130707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 4130707840 is about 64270.5830065357. The cubic root of 4130707840 is about 1604.5065449906.

The spelling of 4130707840 in words is "four billion, one hundred thirty million, seven hundred seven thousand, eight hundred forty".