414312310300 has 144 divisors (see below), whose sum is σ = 1066979333952. Its totient is φ = 136686182400.

The previous prime is 414312310283. The next prime is 414312310319. The reversal of 414312310300 is 3013213414.

It is a super-2 number, since 2×414312310300² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1996224 + ... + 2193976.

It is an arithmetic number, because the mean of its divisors is an integer number (7409578708).

Almost surely, 2^414312310300 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 414312310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533489666976).

414312310300 is an abundant number, since it is smaller than the sum of its proper divisors (652667023652).

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

414312310300 is a wasteful number, since it uses less digits than its factorization.

414312310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197888 (or 197881 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 414312310300 its reverse (3013213414), we get a palindrome (417325523714).

The spelling of 414312310300 in words is "four hundred fourteen billion, three hundred twelve million, three hundred ten thousand, three hundred".