413023040010 has 128 divisors (see below), whose sum is σ = 1260952358400. Its totient is φ = 94239106560.

The previous prime is 413023039973. The next prime is 413023040033. The reversal of 413023040010 is 10040320314.

413023040010 is a `hidden beast` number, since 4 + 1 + 30 + 230 + 400 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883380 + ... + 1267440.

It is an arithmetic number, because the mean of its divisors is an integer number (9851190300).

Almost surely, 2^413023040010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413023040010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630476179200).

413023040010 is an abundant number, since it is smaller than the sum of its proper divisors (847929318390).

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

413023040010 is a wasteful number, since it uses less digits than its factorization.

413023040010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384653 (or 384647 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 413023040010 its reverse (10040320314), we get a palindrome (423063360324).

The spelling of 413023040010 in words is "four hundred thirteen billion, twenty-three million, forty thousand, ten".