4040004000 has 96 divisors (see below), whose sum is σ = 13235092416. Its totient is φ = 1077331200.

The previous prime is 4040003977. The next prime is 4040004037. The reversal of 4040004000 is 4000404.

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, 156334 + ... + 180333.

It is an arithmetic number, because the mean of its divisors is an integer number (137865546).

Almost surely, 2^4040004000 is an apocalyptic number.

4040004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040004000 is an abundant number, since it is smaller than the sum of its proper divisors (9195088416).

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

4040004000 is a wasteful number, since it uses less digits than its factorization.

4040004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336695 (or 336677 counting only the distinct ones).

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

The square root of 4040004000 is about 63561.0257941138. The cubic root of 4040004000 is about 1592.6753739929.

Adding to 4040004000 its reverse (4000404), we get a palindrome (4044004404).

The spelling of 4040004000 in words is "four billion, forty million, four thousand", and thus it is an eban number.