414130440321 has 48 divisors (see below), whose sum is σ = 646353307600. Its totient is φ = 253999742976.

The previous prime is 414130440299. The next prime is 414130440349. The reversal of 414130440321 is 123044031414.

It can be written as a sum of positive squares in 8 ways, for example, as 175112119296 + 239018321025 = 418464^2 + 488895^2 .

It is not a de Polignac number, because 414130440321 - 2⁹ = 414130439809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414130440121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117348885 + ... + 117352413.

Almost surely, 2^414130440321 is an apocalyptic number.

It is an amenable number.

414130440321 is a deficient number, since it is larger than the sum of its proper divisors (232222867279).

414130440321 is a wasteful number, since it uses less digits than its factorization.

414130440321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414130440321 its reverse (123044031414), we get a palindrome (537174471735).

The spelling of 414130440321 in words is "four hundred fourteen billion, one hundred thirty million, four hundred forty thousand, three hundred twenty-one".