4001400413 has 32 divisors (see below), whose sum is σ = 4378447872. Its totient is φ = 3646843200.

The previous prime is 4001400401. The next prime is 4001400433. The reversal of 4001400413 is 3140041004.

4001400413 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4001400413 - 2⁶ = 4001400349 is a prime.

It is a super-2 number, since 2×4001400413² = 32022410530313141138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4001400391 and 4001400400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001400433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12088658 + ... + 12088988.

It is an arithmetic number, because the mean of its divisors is an integer number (136826496).

Almost surely, 2^4001400413 is an apocalyptic number.

It is an amenable number.

4001400413 is a deficient number, since it is larger than the sum of its proper divisors (377047459).

4001400413 is a wasteful number, since it uses less digits than its factorization.

4001400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4001400413 is about 63256.6234713804. The cubic root of 4001400413 is about 1587.5862817758.

Adding to 4001400413 its reverse (3140041004), we get a palindrome (7141441417).

The spelling of 4001400413 in words is "four billion, one million, four hundred thousand, four hundred thirteen".