4002475824 has 120 divisors (see below), whose sum is σ = 11775040992. Its totient is φ = 1266693120.

The previous prime is 4002475817. The next prime is 4002475831. The reversal of 4002475824 is 4285742004.

4002475824 is a `hidden beast` number, since 400 + 247 + 5 + 8 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4002475817) and next prime (4002475831).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 449334 + ... + 458154.

Almost surely, 2^4002475824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002475824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887520496).

4002475824 is an abundant number, since it is smaller than the sum of its proper divisors (7772565168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002475824 is a wasteful number, since it uses less digits than its factorization.

4002475824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4002475824 is about 63265.1232828958. The cubic root of 4002475824 is about 1587.7284948884.

The spelling of 4002475824 in words is "four billion, two million, four hundred seventy-five thousand, eight hundred twenty-four".