434213112300 has 144 divisors (see below), whose sum is σ = 1442668080000. Its totient is φ = 99723571200.

The previous prime is 434213112299. The next prime is 434213112313. The reversal of 434213112300 is 3211312434.

It is a happy number.

It is a super-2 number, since 2×434213112300² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3399925 + ... + 3525324.

Almost surely, 2^434213112300 is an apocalyptic number.

It is an amenable number.

434213112300 is an abundant number, since it is smaller than the sum of its proper divisors (1008454967700).

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

434213112300 is a wasteful number, since it uses less digits than its factorization.

434213112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925296 (or 6925289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 434213112300 its reverse (3211312434), we get a palindrome (437424424734).

The spelling of 434213112300 in words is "four hundred thirty-four billion, two hundred thirteen million, one hundred twelve thousand, three hundred".