4130122752 has 264 divisors, whose sum is σ = 13831759136. Its totient is φ = 1162543104.

The previous prime is 4130122751. The next prime is 4130122757. The reversal of 4130122752 is 2572210314.

It is not an unprimeable number, because it can be changed into a prime (4130122751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4708938 + ... + 4709814.

Almost surely, 2^4130122752 is an apocalyptic number.

4130122752 is a gapful number since it is divisible by the number (42) 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 4130122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915879568).

4130122752 is an abundant number, since it is smaller than the sum of its proper divisors (9701636384).

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

4130122752 is a wasteful number, since it uses less digits than its factorization.

4130122752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4130122752 is about 64266.0310895266. The cubic root of 4130122752 is about 1604.4307854284.

The spelling of 4130122752 in words is "four billion, one hundred thirty million, one hundred twenty-two thousand, seven hundred fifty-two".