414042304312 has 64 divisors (see below), whose sum is σ = 956973931200. Its totient is φ = 163541237760.

The previous prime is 414042304309. The next prime is 414042304327. The reversal of 414042304312 is 213403240414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23014 + ... + 910282.

It is an arithmetic number, because the mean of its divisors is an integer number (14952717675).

Almost surely, 2^414042304312 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 414042304312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478486965600).

414042304312 is an abundant number, since it is smaller than the sum of its proper divisors (542931626888).

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

414042304312 is a wasteful number, since it uses less digits than its factorization.

414042304312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887936 (or 887932 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414042304312 its reverse (213403240414), we get a palindrome (627445544726).

The spelling of 414042304312 in words is "four hundred fourteen billion, forty-two million, three hundred four thousand, three hundred twelve".