4130434414200 has 96 divisors (see below), whose sum is σ = 12816531653760. Its totient is φ = 1100401008000.

The previous prime is 4130434414193. The next prime is 4130434414217. The reversal of 4130434414200 is 24144340314.

4130434414200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4130434414200³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2644404 + ... + 3905603.

It is an arithmetic number, because the mean of its divisors is an integer number (133505538060).

Almost surely, 2^{4130434414200} is an apocalyptic number.

4130434414200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130434414200 is an abundant number, since it is smaller than the sum of its proper divisors (8686097239560).

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

4130434414200 is a wasteful number, since it uses less digits than its factorization.

4130434414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551077 (or 6551068 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4130434414200 its reverse (24144340314), we get a palindrome (4154578754514).

The spelling of 4130434414200 in words is "four trillion, one hundred thirty billion, four hundred thirty-four million, four hundred fourteen thousand, two hundred".