414110144412 has 96 divisors (see below), whose sum is σ = 1093245652800. Its totient is φ = 135521683200.

The previous prime is 414110144389. The next prime is 414110144423. The reversal of 414110144412 is 214441011414.

414110144412 is a `hidden beast` number, since 4 + 141 + 101 + 4 + 4 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3506014 + ... + 3622202.

It is an arithmetic number, because the mean of its divisors is an integer number (11387975550).

Almost surely, 2^414110144412 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 414110144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546622826400).

414110144412 is an abundant number, since it is smaller than the sum of its proper divisors (679135508388).

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

414110144412 is a wasteful number, since it uses less digits than its factorization.

414110144412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116804 (or 116796 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 414110144412 its reverse (214441011414), we get a palindrome (628551155826).

The spelling of 414110144412 in words is "four hundred fourteen billion, one hundred ten million, one hundred forty-four thousand, four hundred twelve".