403144004241 has 48 divisors (see below), whose sum is σ = 638058627648. Its totient is φ = 243253248000.

The previous prime is 403144004227. The next prime is 403144004251. The reversal of 403144004241 is 142400441304.

403144004241 is a `hidden beast` number, since 4 + 0 + 3 + 14 + 400 + 4 + 241 = 666.

It is not a de Polignac number, because 403144004241 - 2¹⁵ = 403143971473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (403144004251) 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 47 ways as a sum of consecutive naturals, for example, 79812166 + ... + 79817216.

It is an arithmetic number, because the mean of its divisors is an integer number (13292888076).

Almost surely, 2^403144004241 is an apocalyptic number.

It is an amenable number.

403144004241 is a deficient number, since it is larger than the sum of its proper divisors (234914623407).

403144004241 is a wasteful number, since it uses less digits than its factorization.

403144004241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 403144004241 its reverse (142400441304), we get a palindrome (545544445545).

The spelling of 403144004241 in words is "four hundred three billion, one hundred forty-four million, four thousand, two hundred forty-one".