413148442112 has 640 divisors, whose sum is σ = 1120042598400. Its totient is φ = 147888930816.

The previous prime is 413148442081. The next prime is 413148442123. The reversal of 413148442112 is 211244841314.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1570906493 + ... + 1570906755.

It is an arithmetic number, because the mean of its divisors is an integer number (1750066560).

Almost surely, 2^413148442112 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 413148442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560021299200).

413148442112 is an abundant number, since it is smaller than the sum of its proper divisors (706894156288).

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

413148442112 is a wasteful number, since it uses less digits than its factorization.

413148442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The spelling of 413148442112 in words is "four hundred thirteen billion, one hundred forty-eight million, four hundred forty-two thousand, one hundred twelve".