414202212312 has 64 divisors (see below), whose sum is σ = 1184594476800. Its totient is φ = 118227530880.

The previous prime is 414202212311. The next prime is 414202212317. The reversal of 414202212312 is 213212202414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414202212311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035862 + ... + 1378917.

It is an arithmetic number, because the mean of its divisors is an integer number (18509288700).

Almost surely, 2^414202212312 is an apocalyptic number.

414202212312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414202212312 is an abundant number, since it is smaller than the sum of its proper divisors (770392264488).

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

414202212312 is a wasteful number, since it uses less digits than its factorization.

414202212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415816 (or 2415812 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414202212312 its reverse (213212202414), we get a palindrome (627414414726).

The spelling of 414202212312 in words is "four hundred fourteen billion, two hundred two million, two hundred twelve thousand, three hundred twelve".