4130734080 has 288 divisors, whose sum is σ = 14495459328. Its totient is φ = 996147200.

The previous prime is 4130734079. The next prime is 4130734099. The reversal of 4130734080 is 804370314.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21626785 + ... + 21626975.

It is an arithmetic number, because the mean of its divisors is an integer number (50331456).

Almost surely, 2^4130734080 is an apocalyptic number.

4130734080 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 4130734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247729664).

4130734080 is an abundant number, since it is smaller than the sum of its proper divisors (10364725248).

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

4130734080 is an equidigital number, since it uses as much as digits as its factorization.

4130734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4130734080 is about 64270.7871431493. The cubic root of 4130734080 is about 1604.5099424844.

The spelling of 4130734080 in words is "four billion, one hundred thirty million, seven hundred thirty-four thousand, eighty".