4130455200 has 72 divisors (see below), whose sum is σ = 13444639488. Its totient is φ = 1101454080.

The previous prime is 4130455193. The next prime is 4130455211. The reversal of 4130455200 is 25540314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 858112 + ... + 862911.

It is an arithmetic number, because the mean of its divisors is an integer number (186731104).

Almost surely, 2^4130455200 is an apocalyptic number.

4130455200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130455200 is an abundant number, since it is smaller than the sum of its proper divisors (9314184288).

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

4130455200 is a wasteful number, since it uses less digits than its factorization.

4130455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721046 (or 1721033 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4130455200 is about 64268.6175360883. The cubic root of 4130455200 is about 1604.4738330185.

Adding to 4130455200 its reverse (25540314), we get a palindrome (4155995514).

The spelling of 4130455200 in words is "four billion, one hundred thirty million, four hundred fifty-five thousand, two hundred".