401138001 has 80 divisors (see below), whose sum is σ = 703790208. Its totient is φ = 224985600.

The previous prime is 401137987. The next prime is 401138021. The reversal of 401138001 is 100831104.

It is not a de Polignac number, because 401138001 - 2⁵ = 401137969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401138021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1075251 + ... + 1075623.

Almost surely, 2^401138001 is an apocalyptic number.

It is an amenable number.

401138001 is a deficient number, since it is larger than the sum of its proper divisors (302652207).

401138001 is a wasteful number, since it uses less digits than its factorization.

401138001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 401138001 is about 20028.4298186353. The cubic root of 401138001 is about 737.5043767240.

Adding to 401138001 its reverse (100831104), we get a palindrome (501969105).

The spelling of 401138001 in words is "four hundred one million, one hundred thirty-eight thousand, one".