412345334500 has 192 divisors, whose sum is σ = 1012842335232. Its totient is φ = 145333440000.

The previous prime is 412345334477. The next prime is 412345334507. The reversal of 412345334500 is 5433543214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (412345334507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55144762 + ... + 55152238.

It is an arithmetic number, because the mean of its divisors is an integer number (5275220496).

Almost surely, 2^412345334500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412345334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506421167616).

412345334500 is an abundant number, since it is smaller than the sum of its proper divisors (600497000732).

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

412345334500 is a wasteful number, since it uses less digits than its factorization.

412345334500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7815 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 412345334500 its reverse (5433543214), we get a palindrome (417778877714).

The spelling of 412345334500 in words is "four hundred twelve billion, three hundred forty-five million, three hundred thirty-four thousand, five hundred".