413021041001 has 8 divisors (see below), whose sum is σ = 437323466664. Its totient is φ = 388719400960.

The previous prime is 413021040989. The next prime is 413021041019. The reversal of 413021041001 is 100140120314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85778694400 + 327242346601 = 292880^2 + 572051^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413021041001 - 2¹⁴ = 413021024617 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 not an unprimeable number, because it can be changed into a prime (413021091001) 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 7 ways as a sum of consecutive naturals, for example, 1149581 + ... + 1465461.

It is an arithmetic number, because the mean of its divisors is an integer number (54665433333).

Almost surely, 2^413021041001 is an apocalyptic number.

It is an amenable number.

413021041001 is a deficient number, since it is larger than the sum of its proper divisors (24302425663).

413021041001 is a wasteful number, since it uses less digits than its factorization.

413021041001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392811.

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

Adding to 413021041001 its reverse (100140120314), we get a palindrome (513161161315).

The spelling of 413021041001 in words is "four hundred thirteen billion, twenty-one million, forty-one thousand, one".