4130322400 has 72 divisors (see below), whose sum is σ = 10297778400. Its totient is φ = 1616962560.

The previous prime is 4130322377. The next prime is 4130322403. The reversal of 4130322400 is 42230314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130322403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17325 + ... + 92524.

It is an arithmetic number, because the mean of its divisors is an integer number (143024700).

Almost surely, 2^4130322400 is an apocalyptic number.

4130322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130322400 is an abundant number, since it is smaller than the sum of its proper divisors (6167456000).

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

4130322400 is a wasteful number, since it uses less digits than its factorization.

4130322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109916 (or 109903 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4130322400 is about 64267.5843641256. The cubic root of 4130322400 is about 1604.4566374635.

Adding to 4130322400 its reverse (42230314), we get a palindrome (4172552714).

The spelling of 4130322400 in words is "four billion, one hundred thirty million, three hundred twenty-two thousand, four hundred".