414440034004134 has 64 divisors (see below), whose sum is σ = 923178947604480. Its totient is φ = 137816558498880.

The previous prime is 414440034004109. The next prime is 414440034004151. The reversal of 414440034004134 is 431400430044414.

414440034004134 is a `hidden beast` number, since 4 + 144 + 40 + 0 + 3 + 400 + 41 + 34 = 666.

It is a super-3 number, since 3×414440034004134³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 337721667 + ... + 338946609.

It is an arithmetic number, because the mean of its divisors is an integer number (14424671056320).

Almost surely, 2^{414440034004134} is an apocalyptic number.

414440034004134 is an abundant number, since it is smaller than the sum of its proper divisors (508738913600346).

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

414440034004134 is a wasteful number, since it uses less digits than its factorization.

414440034004134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239922 (or 1239916 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 414440034004134 its reverse (431400430044414), we get a palindrome (845840464048548).

The spelling of 414440034004134 in words is "four hundred fourteen trillion, four hundred forty billion, thirty-four million, four thousand, one hundred thirty-four".