413004312312 has 64 divisors (see below), whose sum is σ = 1066097203200. Its totient is φ = 133192245120.

The previous prime is 413004312223. The next prime is 413004312403. The reversal of 413004312312 is 213213400314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2843389 + ... + 2985107.

It is an arithmetic number, because the mean of its divisors is an integer number (16657768800).

Almost surely, 2^413004312312 is an apocalyptic number.

It is an amenable number.

413004312312 is an abundant number, since it is smaller than the sum of its proper divisors (653092890888).

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

413004312312 is a wasteful number, since it uses less digits than its factorization.

413004312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145676 (or 145672 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413004312312 its reverse (213213400314), we get a palindrome (626217712626).

The spelling of 413004312312 in words is "four hundred thirteen billion, four million, three hundred twelve thousand, three hundred twelve".