401024001 has 16 divisors (see below), whose sum is σ = 614981504. Its totient is φ = 227695104.

The previous prime is 401023991. The next prime is 401024009. The reversal of 401024001 is 100420104.

It is not a de Polignac number, because 401024001 - 2¹⁰ = 401022977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401024009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57520 + ... + 64113.

It is an arithmetic number, because the mean of its divisors is an integer number (38436344).

Almost surely, 2^401024001 is an apocalyptic number.

It is an amenable number.

401024001 is a deficient number, since it is larger than the sum of its proper divisors (213957503).

401024001 is a wasteful number, since it uses less digits than its factorization.

401024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121800.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 401024001 is about 20025.5836619061. The cubic root of 401024001 is about 737.4345059526.

Adding to 401024001 its reverse (100420104), we get a palindrome (501444105).

The spelling of 401024001 in words is "four hundred one million, twenty-four thousand, one".