4000040000 has 140 divisors (see below), whose sum is σ = 10821698448. Its totient is φ = 1454400000.

The previous prime is 4000039997. The next prime is 4000040027. The reversal of 4000040000 is 400004.

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 self number, because there is not a number n which added to its sum of digits gives 4000040000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 435455 + ... + 444545.

Almost surely, 2^4000040000 is an apocalyptic number.

4000040000 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 4000040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410849224).

4000040000 is an abundant number, since it is smaller than the sum of its proper divisors (6821658448).

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

4000040000 is an equidigital number, since it uses as much as digits as its factorization.

4000040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9109 counting only the distinct ones).

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

The square root of 4000040000 is about 63245.8694303430. The cubic root of 4000040000 is about 1587.4063432874.

Adding to 4000040000 its reverse (400004), we get a palindrome (4000440004).

4000040000 divided by its reverse (400004) gives a 4-th power (10000 = 10⁴).

The spelling of 4000040000 in words is "four billion, forty thousand", and thus it is an eban number.