4004385012 has 60 divisors (see below), whose sum is σ = 10489491936. Its totient is φ = 1332087120.

The previous prime is 4004385001. The next prime is 4004385017. The reversal of 4004385012 is 2105834004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004385017) 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 19 ways as a sum of consecutive naturals, for example, 150687 + ... + 175257.

Almost surely, 2^4004385012 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 4004385012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244745968).

4004385012 is an abundant number, since it is smaller than the sum of its proper divisors (6485106924).

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

4004385012 is a wasteful number, since it uses less digits than its factorization.

4004385012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25090 (or 25079 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4004385012 is about 63280.2102714585. The cubic root of 4004385012 is about 1587.9809045199.

It can be divided in two parts, 400438 and 5012, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 4004385012 in words is "four billion, four million, three hundred eighty-five thousand, twelve".