4130324400 has 60 divisors (see below), whose sum is σ = 13230809672. Its totient is φ = 1101419520.

The previous prime is 4130324389. The next prime is 4130324431. The reversal of 4130324400 is 44230314.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1719769 + ... + 1722168.

Almost surely, 2^4130324400 is an apocalyptic number.

4130324400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130324400 is an abundant number, since it is smaller than the sum of its proper divisors (9100485272).

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

4130324400 is a wasteful number, since it uses less digits than its factorization.

4130324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441958 (or 3441947 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4130324400 is about 64267.5999240675. The cubic root of 4130324400 is about 1604.4568964355.

Adding to 4130324400 its reverse (44230314), we get a palindrome (4174554714).

It can be divided in two parts, 41303 and 24400, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 4130324400 in words is "four billion, one hundred thirty million, three hundred twenty-four thousand, four hundred".