414213748824 has 64 divisors (see below), whose sum is σ = 1046624832000. Its totient is φ = 136596378240.

The previous prime is 414213748789. The next prime is 414213748831. The reversal of 414213748824 is 428847312414.

It is a super-2 number, since 2×414213748824² (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603809 + ... + 1844079.

It is an arithmetic number, because the mean of its divisors is an integer number (16353513000).

Almost surely, 2^414213748824 is an apocalyptic number.

It is an amenable number.

414213748824 is an abundant number, since it is smaller than the sum of its proper divisors (632411083176).

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

414213748824 is a wasteful number, since it uses less digits than its factorization.

414213748824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241048 (or 241044 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 48.

The spelling of 414213748824 in words is "four hundred fourteen billion, two hundred thirteen million, seven hundred forty-eight thousand, eight hundred twenty-four".