413300401000 has 128 divisors (see below), whose sum is σ = 999045365760. Its totient is φ = 159871104000.

The previous prime is 413300400941. The next prime is 413300401013. The reversal of 413300401000 is 104003314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51548992 + ... + 51557008.

It is an arithmetic number, because the mean of its divisors is an integer number (7805041920).

Almost surely, 2^413300401000 is an apocalyptic number.

413300401000 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 413300401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499522682880).

413300401000 is an abundant number, since it is smaller than the sum of its proper divisors (585744964760).

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

413300401000 is a wasteful number, since it uses less digits than its factorization.

413300401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 413300401000 its reverse (104003314), we get a palindrome (413404404314).

The spelling of 413300401000 in words is "four hundred thirteen billion, three hundred million, four hundred one thousand".