413033343040 has 112 divisors (see below), whose sum is σ = 1000534523184. Its totient is φ = 162381824000.

The previous prime is 413033343029. The next prime is 413033343061. The reversal of 413033343040 is 40343330314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 134114158656 + 278919184384 = 366216^2 + 528128^2 .

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 15 ways as a sum of consecutive naturals, for example, 4381200 + ... + 4474480.

It is an arithmetic number, because the mean of its divisors is an integer number (8933343957).

Almost surely, 2^413033343040 is an apocalyptic number.

413033343040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413033343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500267261592).

413033343040 is an abundant number, since it is smaller than the sum of its proper divisors (587501180144).

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

413033343040 is a wasteful number, since it uses less digits than its factorization.

413033343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93536 (or 93526 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 413033343040 its reverse (40343330314), we get a palindrome (453376673354).

The spelling of 413033343040 in words is "four hundred thirteen billion, thirty-three million, three hundred forty-three thousand, forty".