413033413140 has 288 divisors, whose sum is σ = 1336319921664. Its totient is φ = 107010201600.

The previous prime is 413033413139. The next prime is 413033413213. The reversal of 413033413140 is 41314330314.

413033413140 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 3 + 341 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175682965 + ... + 175685315.

It is an arithmetic number, because the mean of its divisors is an integer number (4639999728).

Almost surely, 2^413033413140 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 413033413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668159960832).

413033413140 is an abundant number, since it is smaller than the sum of its proper divisors (923286508524).

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

413033413140 is a wasteful number, since it uses less digits than its factorization.

413033413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 413033413140 its reverse (41314330314), we get a palindrome (454347743454).

The spelling of 413033413140 in words is "four hundred thirteen billion, thirty-three million, four hundred thirteen thousand, one hundred forty".