4130432000 has 264 divisors, whose sum is σ = 10948616952. Its totient is φ = 1554432000.

The previous prime is 4130431993. The next prime is 4130432011. The reversal of 4130432000 is 2340314.

It can be written as a sum of positive squares in 4 ways, for example, as 1001595904 + 3128836096 = 31648^2 + 55936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4130432000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67711970 + ... + 67712030.

Almost surely, 2^4130432000 is an apocalyptic number.

4130432000 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 4130432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474308476).

4130432000 is an abundant number, since it is smaller than the sum of its proper divisors (6818184952).

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

4130432000 is an equidigital number, since it uses as much as digits as its factorization.

4130432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4130432000 is about 64268.4370433886. The cubic root of 4130432000 is about 1604.4708290024.

Adding to 4130432000 its reverse (2340314), we get a palindrome (4132772314).

The spelling of 4130432000 in words is "four billion, one hundred thirty million, four hundred thirty-two thousand".