413112040000 has 280 divisors, whose sum is σ = 1119867252768. Its totient is φ = 149905920000.

The previous prime is 413112039983. The next prime is 413112040007. The reversal of 413112040000 is 40211314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (413112040007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 346279404 + ... + 346280596.

Almost surely, 2^413112040000 is an apocalyptic number.

413112040000 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 413112040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559933626384).

413112040000 is an abundant number, since it is smaller than the sum of its proper divisors (706755212768).

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

413112040000 is a wasteful number, since it uses less digits than its factorization.

413112040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 413112040000 its reverse (40211314), we get a palindrome (413152251314).

The spelling of 413112040000 in words is "four hundred thirteen billion, one hundred twelve million, forty thousand".