4005412401 has 16 divisors (see below), whose sum is σ = 5815483200. Its totient is φ = 2442500928.

The previous prime is 4005412379. The next prime is 4005412403. The reversal of 4005412401 is 1042145004.

It is a happy number.

It is not a de Polignac number, because 4005412401 - 2²¹ = 4003315249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4005412403) 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, 1209906 + ... + 1213211.

It is an arithmetic number, because the mean of its divisors is an integer number (363467700).

Almost surely, 2^4005412401 is an apocalyptic number.

It is an amenable number.

4005412401 is a deficient number, since it is larger than the sum of its proper divisors (1810070799).

4005412401 is a wasteful number, since it uses less digits than its factorization.

4005412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423168.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4005412401 is about 63288.3275256978. The cubic root of 4005412401 is about 1588.1167002040.

Adding to 4005412401 its reverse (1042145004), we get a palindrome (5047557405).

The spelling of 4005412401 in words is "four billion, five million, four hundred twelve thousand, four hundred one".