413145033114032 has 160 divisors (see below), whose sum is σ = 850527008769600. Its totient is φ = 194345012305920.

The previous prime is 413145033114013. The next prime is 413145033114089. The reversal of 413145033114032 is 230411330541314.

It is a junction number, because it is equal to n+sod(n) for n = 413145033113983 and 413145033114001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2546910944 + ... + 2547073152.

It is an arithmetic number, because the mean of its divisors is an integer number (5315793804810).

Almost surely, 2^{413145033114032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413145033114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425263504384800).

413145033114032 is an abundant number, since it is smaller than the sum of its proper divisors (437381975655568).

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

413145033114032 is a wasteful number, since it uses less digits than its factorization.

413145033114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162472 (or 162408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 413145033114032 its reverse (230411330541314), we get a palindrome (643556363655346).

The spelling of 413145033114032 in words is "four hundred thirteen trillion, one hundred forty-five billion, thirty-three million, one hundred fourteen thousand, thirty-two".