413233004314 has 24 divisors (see below), whose sum is σ = 683862128892. Its totient is φ = 187124371200.

The previous prime is 413233004299. The next prime is 413233004377. The reversal of 413233004314 is 413400332314.

It can be written as a sum of positive squares in 6 ways, for example, as 39646783225 + 373586221089 = 199115^2 + 611217^2 .

It is a super-3 number, since 3×413233004314³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11515887 + ... + 11551714.

Almost surely, 2^413233004314 is an apocalyptic number.

413233004314 is a deficient number, since it is larger than the sum of its proper divisors (270629124578).

413233004314 is a wasteful number, since it uses less digits than its factorization.

413233004314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067682 (or 23067669 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413233004314 its reverse (413400332314), we get a palindrome (826633336628).

The spelling of 413233004314 in words is "four hundred thirteen billion, two hundred thirty-three million, four thousand, three hundred fourteen".