414510132414 has 64 divisors (see below), whose sum is σ = 978950246400. Its totient is φ = 114501461760.

The previous prime is 414510132391. The next prime is 414510132427. The reversal of 414510132414 is 414231015414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214052 + ... + 1517544.

It is an arithmetic number, because the mean of its divisors is an integer number (15296097600).

Almost surely, 2^414510132414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414510132414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489475123200).

414510132414 is an abundant number, since it is smaller than the sum of its proper divisors (564440113986).

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

414510132414 is a wasteful number, since it uses less digits than its factorization.

414510132414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304585.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 414510132414 its reverse (414231015414), we get a palindrome (828741147828).

The spelling of 414510132414 in words is "four hundred fourteen billion, five hundred ten million, one hundred thirty-two thousand, four hundred fourteen".