4040122001 has 16 divisors (see below), whose sum is σ = 4274681040. Its totient is φ = 3814087680.

The previous prime is 4040121991. The next prime is 4040122033. The reversal of 4040122001 is 1002210404.

It can be written as a sum of positive squares in 8 ways, for example, as 1392400 + 4038729601 = 1180^2 + 63551^2 .

It is a cyclic number.

It is not a de Polignac number, because 4040122001 - 2¹⁴ = 4040105617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4040122081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145895 + ... + 171363.

It is an arithmetic number, because the mean of its divisors is an integer number (267167565).

Almost surely, 2^4040122001 is an apocalyptic number.

4040122001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4040122001 is a deficient number, since it is larger than the sum of its proper divisors (234559039).

4040122001 is a wasteful number, since it uses less digits than its factorization.

4040122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25636.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4040122001 is about 63561.9540369866. The cubic root of 4040122001 is about 1592.6908802034.

Adding to 4040122001 its reverse (1002210404), we get a palindrome (5042332405).

The spelling of 4040122001 in words is "four billion, forty million, one hundred twenty-two thousand, one".