4041022401 has 24 divisors (see below), whose sum is σ = 6298195176. Its totient is φ = 2481972480.

The previous prime is 4041022397. The next prime is 4041022463. The reversal of 4041022401 is 1042201404.

It can be written as a sum of positive squares in 4 ways, for example, as 26532801 + 4014489600 = 5151^2 + 63360^2 .

It is not a de Polignac number, because 4041022401 - 2² = 4041022397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4041022501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27811 + ... + 94103.

It is an arithmetic number, because the mean of its divisors is an integer number (262424799).

Almost surely, 2^4041022401 is an apocalyptic number.

It is an amenable number.

4041022401 is a deficient number, since it is larger than the sum of its proper divisors (2257172775).

4041022401 is a wasteful number, since it uses less digits than its factorization.

4041022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66833 (or 66830 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4041022401 is about 63569.0364957658. The cubic root of 4041022401 is about 1592.8091895307.

Adding to 4041022401 its reverse (1042201404), we get a palindrome (5083223805).

The spelling of 4041022401 in words is "four billion, forty-one million, twenty-two thousand, four hundred one".