4004004000 has 96 divisors (see below), whose sum is σ = 13117156416. Its totient is φ = 1067731200.

The previous prime is 4004003981. The next prime is 4004004019. The reversal of 4004004000 is 4004004.

It is an interprime number because it is at equal distance from previous prime (4004003981) and next prime (4004004019).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154834 + ... + 178833.

It is an arithmetic number, because the mean of its divisors is an integer number (136637046).

Almost surely, 2^4004004000 is an apocalyptic number.

4004004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004004000 is an abundant number, since it is smaller than the sum of its proper divisors (9113152416).

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

4004004000 is a wasteful number, since it uses less digits than its factorization.

4004004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333695 (or 333677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4004004000 is about 63277.1996851947. The cubic root of 4004004000 is about 1587.9305381533.

Adding to 4004004000 its reverse (4004004), we get a palindrome (4008008004).

4004004000 divided by its reverse (4004004) gives a cube (1000 = 10³).

The spelling of 4004004000 in words is "four billion, four million, four thousand", and thus it is an eban number.