414129573841 has 9 divisors (see below), whose sum is σ = 427940143113. Its totient is φ = 400751249460.

The previous prime is 414129573811. The next prime is 414129573983. The reversal of 414129573841 is 148375921414.

The square root of 414129573841 is 643529.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 414129573841 - 2¹⁹ = 414129049553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414129573811) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 19939020 + ... + 19959778.

Almost surely, 2^414129573841 is an apocalyptic number.

414129573841 is the 643529-th square number.

414129573841 is the 321765-th centered octagonal number.

It is an amenable number.

414129573841 is a deficient number, since it is larger than the sum of its proper divisors (13810569272).

414129573841 is an frugal number, since it uses more digits than its factorization.

414129573841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41580 (or 20790 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 414129573841 by its sum of digits (49), we get a square (20292349118209 = 4504703²).

The spelling of 414129573841 in words is "four hundred fourteen billion, one hundred twenty-nine million, five hundred seventy-three thousand, eight hundred forty-one".