4008464007 has 16 divisors (see below), whose sum is σ = 5460835200. Its totient is φ = 2614737312.

The previous prime is 4008463993. The next prime is 4008464011. The reversal of 4008464007 is 7004648004.

It is not a de Polignac number, because 4008464007 - 2¹¹ = 4008461959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008464027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36973 + ... + 96870.

It is an arithmetic number, because the mean of its divisors is an integer number (341302200).

Almost surely, 2^4008464007 is an apocalyptic number.

4008464007 is a deficient number, since it is larger than the sum of its proper divisors (1452371193).

4008464007 is a wasteful number, since it uses less digits than its factorization.

4008464007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134062.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4008464007 is about 63312.4316939414. The cubic root of 4008464007 is about 1588.5199109710.

The spelling of 4008464007 in words is "four billion, eight million, four hundred sixty-four thousand, seven".