4002000413 has 16 divisors (see below), whose sum is σ = 4302740736. Its totient is φ = 3708660480.

The previous prime is 4002000347. The next prime is 4002000421. The reversal of 4002000413 is 3140002004.

It is a cyclic number.

It is not a de Polignac number, because 4002000413 - 2²⁶ = 3934891549 is a prime.

It is a super-3 number, since 3×4002000413³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002000473) 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, 1184795 + ... + 1188167.

It is an arithmetic number, because the mean of its divisors is an integer number (268921296).

Almost surely, 2^4002000413 is an apocalyptic number.

It is an amenable number.

4002000413 is a deficient number, since it is larger than the sum of its proper divisors (300740323).

4002000413 is a wasteful number, since it uses less digits than its factorization.

4002000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4002000413 is about 63261.3658799745. The cubic root of 4002000413 is about 1587.6656293428.

Adding to 4002000413 its reverse (3140002004), we get a palindrome (7142002417).

The spelling of 4002000413 in words is "four billion, two million, four hundred thirteen", and thus it is an aban number.