413021104020 has 576 divisors, whose sum is σ = 1568967708672. Its totient is φ = 85764096000.

The previous prime is 413021104019. The next prime is 413021104021. The reversal of 413021104020 is 20401120314.

413021104020 is a `hidden beast` number, since 413 + 0 + 211 + 0 + 40 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (413021104019) and next prime (413021104021).

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

It is a junction number, because it is equal to n+sod(n) for n = 413021103984 and 413021104002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413021104021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438916750 + ... + 438917690.

It is an arithmetic number, because the mean of its divisors is an integer number (2723902272).

Almost surely, 2^413021104020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413021104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784483854336).

413021104020 is an abundant number, since it is smaller than the sum of its proper divisors (1155946604652).

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

413021104020 is a wasteful number, since it uses less digits than its factorization.

413021104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 413021104020 its reverse (20401120314), we get a palindrome (433422224334).

The spelling of 413021104020 in words is "four hundred thirteen billion, twenty-one million, one hundred four thousand, twenty".