413034142212 has 72 divisors (see below), whose sum is σ = 1080785160000. Its totient is φ = 132841345728.

The previous prime is 413034142189. The next prime is 413034142223. The reversal of 413034142212 is 212241430314.

413034142212 is a `hidden beast` number, since 4 + 1 + 30 + 3 + 414 + 2 + 212 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432993 + ... + 1696919.

It is an arithmetic number, because the mean of its divisors is an integer number (15010905000).

Almost surely, 2^413034142212 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 413034142212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540392580000).

413034142212 is an abundant number, since it is smaller than the sum of its proper divisors (667751017788).

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

413034142212 is a wasteful number, since it uses less digits than its factorization.

413034142212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265465 (or 265460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413034142212 its reverse (212241430314), we get a palindrome (625275572526).

The spelling of 413034142212 in words is "four hundred thirteen billion, thirty-four million, one hundred forty-two thousand, two hundred twelve".