413322114304 has 36 divisors (see below), whose sum is σ = 900032394240. Its totient is φ = 187873687040.

The previous prime is 413322114301. The next prime is 413322114323. The reversal of 413322114304 is 403411223314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413322114301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73385344 + ... + 73390975.

It is an arithmetic number, because the mean of its divisors is an integer number (25000899840).

Almost surely, 2^413322114304 is an apocalyptic number.

413322114304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413322114304 is an abundant number, since it is smaller than the sum of its proper divisors (486710279936).

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

413322114304 is a wasteful number, since it uses less digits than its factorization.

413322114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146776346 (or 146776332 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 413322114304 its reverse (403411223314), we get a palindrome (816733337618).

The spelling of 413322114304 in words is "four hundred thirteen billion, three hundred twenty-two million, one hundred fourteen thousand, three hundred four".