4004000672 has 48 divisors (see below), whose sum is σ = 9299630592. Its totient is φ = 1660642560.

The previous prime is 4004000653. The next prime is 4004000677. The reversal of 4004000672 is 2760004004.

It is not an unprimeable number, because it can be changed into a prime (4004000677) 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, 281363 + ... + 295250.

It is an arithmetic number, because the mean of its divisors is an integer number (193742304).

Almost surely, 2^4004000672 is an apocalyptic number.

It is an amenable number.

4004000672 is an abundant number, since it is smaller than the sum of its proper divisors (5295629920).

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

4004000672 is a wasteful number, since it uses less digits than its factorization.

4004000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576661 (or 576653 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4004000672 is about 63277.1733881974. The cubic root of 4004000672 is about 1587.9300982075.

Adding to 4004000672 its reverse (2760004004), we get a palindrome (6764004676).

The spelling of 4004000672 in words is "four billion, four million, six hundred seventy-two", and thus it is an aban number.