413021010401 has 32 divisors (see below), whose sum is σ = 445026016512. Its totient is φ = 381942999040.

The previous prime is 413021010377. The next prime is 413021010427. The reversal of 413021010401 is 104010120314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413021010401 - 2³⁸ = 138143103457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413021010401.

It is not an unprimeable number, because it can be changed into a prime (413021010491) by changing a digit.

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, 169200341 + ... + 169202781.

It is an arithmetic number, because the mean of its divisors is an integer number (13907063016).

Almost surely, 2^413021010401 is an apocalyptic number.

It is an amenable number.

413021010401 is a deficient number, since it is larger than the sum of its proper divisors (32005006111).

413021010401 is a wasteful number, since it uses less digits than its factorization.

413021010401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 413021010401 its reverse (104010120314), we get a palindrome (517031130715).

The spelling of 413021010401 in words is "four hundred thirteen billion, twenty-one million, ten thousand, four hundred one".