413132134420 has 96 divisors (see below), whose sum is σ = 933294555648. Its totient is φ = 153050929152.

The previous prime is 413132134409. The next prime is 413132134477. The reversal of 413132134420 is 24431231314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23067189 + ... + 23085091.

It is an arithmetic number, because the mean of its divisors is an integer number (9721818288).

Almost surely, 2^413132134420 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 413132134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466647277824).

413132134420 is an abundant number, since it is smaller than the sum of its proper divisors (520162421228).

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

413132134420 is a wasteful number, since it uses less digits than its factorization.

413132134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009 (or 19007 counting only the distinct ones).

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

Adding to 413132134420 its reverse (24431231314), we get a palindrome (437563365734).

The spelling of 413132134420 in words is "four hundred thirteen billion, one hundred thirty-two million, one hundred thirty-four thousand, four hundred twenty".