413033040000 has 1280 divisors, whose sum is σ = 1774232064000. Its totient is φ = 92606976000.

The previous prime is 413033039999. The next prime is 413033040113. The reversal of 413033040000 is 40330314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 892079769 + ... + 892080231.

It is an arithmetic number, because the mean of its divisors is an integer number (1386118800).

Almost surely, 2^413033040000 is an apocalyptic number.

413033040000 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 413033040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887116032000).

413033040000 is an abundant number, since it is smaller than the sum of its proper divisors (1361199024000).

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

413033040000 is an equidigital number, since it uses as much as digits as its factorization.

413033040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 413033040000 its reverse (40330314), we get a palindrome (413073370314).

The spelling of 413033040000 in words is "four hundred thirteen billion, thirty-three million, forty thousand".