4004040000 has 280 divisors, whose sum is σ = 13479910048. Its totient is φ = 1048320000.

The previous prime is 4004039981. The next prime is 4004040013. The reversal of 4004040000 is 404004.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7319727 + ... + 7320273.

Almost surely, 2^4004040000 is an apocalyptic number.

4004040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739955024).

4004040000 is an abundant number, since it is smaller than the sum of its proper divisors (9475870048).

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

4004040000 is an equidigital number, since it uses as much as digits as its factorization.

4004040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 618 counting only the distinct ones).

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

The square root of 4004040000 is about 63277.4841472067. The cubic root of 4004040000 is about 1587.9352971668.

Adding to 4004040000 its reverse (404004), we get a palindrome (4004444004).

The spelling of 4004040000 in words is "four billion, four million, forty thousand", and thus it is an eban number.