414030144300 has 216 divisors, whose sum is σ = 1237364876496. Its totient is φ = 106810744320.

The previous prime is 414030144251. The next prime is 414030144347. The reversal of 414030144300 is 3441030414.

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 71 ways as a sum of consecutive naturals, for example, 634042774 + ... + 634043426.

Almost surely, 2^414030144300 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 414030144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618682438248).

414030144300 is an abundant number, since it is smaller than the sum of its proper divisors (823334732196).

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

414030144300 is a wasteful number, since it uses less digits than its factorization.

414030144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414030144300 its reverse (3441030414), we get a palindrome (417471174714).

The spelling of 414030144300 in words is "four hundred fourteen billion, thirty million, one hundred forty-four thousand, three hundred".