4002788001 has 16 divisors (see below), whose sum is σ = 5377780800. Its totient is φ = 2648193600.

The previous prime is 4002787993. The next prime is 4002788029. The reversal of 4002788001 is 1008872004.

It is not a de Polignac number, because 4002788001 - 2³ = 4002787993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4002788001.

It is not an unprimeable number, because it can be changed into a prime (4002788071) 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, 578106 + ... + 584988.

It is an arithmetic number, because the mean of its divisors is an integer number (336111300).

Almost surely, 2^4002788001 is an apocalyptic number.

It is an amenable number.

4002788001 is a deficient number, since it is larger than the sum of its proper divisors (1374992799).

4002788001 is a wasteful number, since it uses less digits than its factorization.

4002788001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 4002788001 is about 63267.5904472424. The cubic root of 4002788001 is about 1587.7697726254.

The spelling of 4002788001 in words is "four billion, two million, seven hundred eighty-eight thousand, one".