413214545432432 has 160 divisors (see below), whose sum is σ = 849874265280000. Its totient is φ = 194081170314240.

The previous prime is 413214545432419. The next prime is 413214545432497. The reversal of 413214545432432 is 234234545412314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82297258082 + ... + 82297263102.

It is an arithmetic number, because the mean of its divisors is an integer number (5311714158000).

Almost surely, 2^{413214545432432} 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 413214545432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424937132640000).

413214545432432 is an abundant number, since it is smaller than the sum of its proper divisors (436659719847568).

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

413214545432432 is a wasteful number, since it uses less digits than its factorization.

413214545432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7993 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 47.

The spelling of 413214545432432 in words is "four hundred thirteen trillion, two hundred fourteen billion, five hundred forty-five million, four hundred thirty-two thousand, four hundred thirty-two".