413033111040 has 320 divisors, whose sum is σ = 1443080136960. Its totient is φ = 99946659840.

The previous prime is 413033111017. The next prime is 413033111093. The reversal of 413033111040 is 40111330314.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 413033110998 and 413033111016.

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 31 ways as a sum of consecutive naturals, for example, 49585596 + ... + 49593924.

It is an arithmetic number, because the mean of its divisors is an integer number (4509625428).

Almost surely, 2^413033111040 is an apocalyptic number.

413033111040 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 413033111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721540068480).

413033111040 is an abundant number, since it is smaller than the sum of its proper divisors (1030047025920).

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

413033111040 is a wasteful number, since it uses less digits than its factorization.

413033111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 413033111040 its reverse (40111330314), we get a palindrome (453144441354).

The spelling of 413033111040 in words is "four hundred thirteen billion, thirty-three million, one hundred eleven thousand, forty".