4000410001 has 16 divisors (see below), whose sum is σ = 4668436224. Its totient is φ = 3357206784.

The previous prime is 4000409999. The next prime is 4000410031. The reversal of 4000410001 is 1000140004.

It is a cyclic number.

It is not a de Polignac number, because 4000410001 - 2¹ = 4000409999 is a prime.

It is a super-2 number, since 2×4000410001² = 32006560352201640002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4000410001.

It is not an unprimeable number, because it can be changed into a prime (4000410031) 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 15 ways as a sum of consecutive naturals, for example, 41436 + ... + 98578.

It is an arithmetic number, because the mean of its divisors is an integer number (291777264).

Almost surely, 2^4000410001 is an apocalyptic number.

It is an amenable number.

4000410001 is a deficient number, since it is larger than the sum of its proper divisors (668026223).

4000410001 is a wasteful number, since it uses less digits than its factorization.

4000410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57360.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4000410001 is about 63248.7944628196. The cubic root of 4000410001 is about 1587.4552864501.

Adding to 4000410001 its reverse (1000140004), we get a palindrome (5000550005).

It can be divided in two parts, 40004 and 10001, that multiplied together give a palindrome (400080004).

The spelling of 4000410001 in words is "four billion, four hundred ten thousand, one".