4008480401 has 8 divisors (see below), whose sum is σ = 4022978400. Its totient is φ = 3994006720.

The previous prime is 4008480391. The next prime is 4008480403. The reversal of 4008480401 is 1040848004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4008480401 - 2²⁶ = 3941371537 is a prime.

It is a super-2 number, since 2×4008480401² = 32135830250402241602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4008480403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363710 + ... + 374568.

It is an arithmetic number, because the mean of its divisors is an integer number (502872300).

Almost surely, 2^4008480401 is an apocalyptic number.

It is an amenable number.

4008480401 is a deficient number, since it is larger than the sum of its proper divisors (14497999).

4008480401 is a wasteful number, since it uses less digits than its factorization.

4008480401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12159.

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 4008480401 is about 63312.5611628530. The cubic root of 4008480401 is about 1588.5220765686.

The spelling of 4008480401 in words is "four billion, eight million, four hundred eighty thousand, four hundred one".