414044341032114 has 64 divisors (see below), whose sum is σ = 990909111292800. Its totient is φ = 127393917535296.

The previous prime is 414044341032071. The next prime is 414044341032121. The reversal of 414044341032114 is 411230143440414.

414044341032114 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 4 + 434 + 1 + 0 + 3 + 211 + 4 = 666.

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, 10596597 + ... + 30665559.

It is an arithmetic number, because the mean of its divisors is an integer number (15482954863950).

Almost surely, 2^{414044341032114} is an apocalyptic number.

414044341032114 is an abundant number, since it is smaller than the sum of its proper divisors (576864770260686).

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

414044341032114 is a wasteful number, since it uses less digits than its factorization.

414044341032114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20098376 (or 20098370 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 414044341032114 its reverse (411230143440414), we get a palindrome (825274484472528).

The spelling of 414044341032114 in words is "four hundred fourteen trillion, forty-four billion, three hundred forty-one million, thirty-two thousand, one hundred fourteen".