4130122400 has 36 divisors (see below), whose sum is σ = 10082663262. Its totient is φ = 1652048640.

The previous prime is 4130122391. The next prime is 4130122411. The reversal of 4130122400 is 42210314.

It can be written as a sum of positive squares in 3 ways, for example, as 2331344656 + 1798777744 = 48284^2 + 42412^2 .

It is a super-2 number, since 2×4130122400² = 34115822077963520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2580527 + ... + 2582126.

Almost surely, 2^4130122400 is an apocalyptic number.

4130122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130122400 is an abundant number, since it is smaller than the sum of its proper divisors (5952540862).

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

4130122400 is a wasteful number, since it uses less digits than its factorization.

4130122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162673 (or 5162660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4130122400 is about 64266.0283509102. The cubic root of 4130122400 is about 1604.4307398478.

Adding to 4130122400 its reverse (42210314), we get a palindrome (4172332714).

The spelling of 4130122400 in words is "four billion, one hundred thirty million, one hundred twenty-two thousand, four hundred".