4004000000 has 504 divisors, whose sum is σ = 13413578304. Its totient is φ = 1152000000.

The previous prime is 4003999973. The next prime is 4004000003. The reversal of 4004000000 is 4004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4004000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 307999994 + ... + 308000006.

Almost surely, 2^4004000000 is an apocalyptic number.

4004000000 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 4004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706789152).

4004000000 is an abundant number, since it is smaller than the sum of its proper divisors (9409578304).

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

4004000000 is an frugal number, since it uses more digits than its factorization.

4004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4004000000 is about 63277.1680782255. The cubic root of 4004000000 is about 1587.9300093722.

Adding to 4004000000 its reverse (4004), we get a palindrome (4004004004).

Multiplying 4004000000 by its reverse (4004), we get a square (16032016000000 = 4004000²).

4004000000 divided by its reverse (4004) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 400 and 4000000, that multiplied together give a 4-th power (1600000000 = 200⁴).

The spelling of 4004000000 in words is "four billion, four million", and thus it is an aban number and an eban number.