414101411433 has 12 divisors (see below), whose sum is σ = 598152389380. Its totient is φ = 276064881696.

The previous prime is 414101411417. The next prime is 414101411453. The reversal of 414101411433 is 334114101414.

414101411433 is a `hidden beast` number, since 414 + 101 + 4 + 1 + 143 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 304425855504 + 109675555929 = 551748^2 + 331173^2 .

It is not a de Polignac number, because 414101411433 - 2⁴ = 414101411417 is a prime.

It is a super-2 number, since 2×414101411433² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414101411397 and 414101411406.

It is not an unprimeable number, because it can be changed into a prime (414101411453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1220535 + ... + 1522467.

Almost surely, 2^414101411433 is an apocalyptic number.

It is an amenable number.

414101411433 is a deficient number, since it is larger than the sum of its proper divisors (184050977947).

414101411433 is a wasteful number, since it uses less digits than its factorization.

414101411433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454328 (or 454325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 414101411433 its reverse (334114101414), we get a palindrome (748215512847).

The spelling of 414101411433 in words is "four hundred fourteen billion, one hundred one million, four hundred eleven thousand, four hundred thirty-three".