4130220000 has 240 divisors, whose sum is σ = 14264933760. Its totient is φ = 1043136000.

The previous prime is 4130219957. The next prime is 4130220001. The reversal of 4130220000 is 220314.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1138189 + ... + 1141811.

It is an arithmetic number, because the mean of its divisors is an integer number (59437224).

Almost surely, 2^4130220000 is an apocalyptic number.

4130220000 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 4130220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132466880).

4130220000 is an abundant number, since it is smaller than the sum of its proper divisors (10134713760).

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

4130220000 is a wasteful number, since it uses less digits than its factorization.

4130220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3652 counting only the distinct ones).

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

The square root of 4130220000 is about 64266.7876900659. The cubic root of 4130220000 is about 1604.4433779887.

Adding to 4130220000 its reverse (220314), we get a palindrome (4130440314).

The spelling of 4130220000 in words is "four billion, one hundred thirty million, two hundred twenty thousand".