4000100000 has 288 divisors, whose sum is σ = 11286121392. Its totient is φ = 1382400000.

The previous prime is 4000099981. The next prime is 4000100003. The reversal of 4000100000 is 10004.

It can be written as a sum of positive squares in 24 ways, for example, as 3992723344 + 7376656 = 63188^2 + 2716^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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

It is not an unprimeable number, because it can be changed into a prime (4000100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22099910 + ... + 22100090.

Almost surely, 2^4000100000 is an apocalyptic number.

4000100000 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 4000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643060696).

4000100000 is an abundant number, since it is smaller than the sum of its proper divisors (7286021392).

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

4000100000 is a wasteful number, since it uses less digits than its factorization.

4000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 4000100000 is about 63246.3437678416. The cubic root of 4000100000 is about 1587.4142802001.

Adding to 4000100000 its reverse (10004), we get a palindrome (4000110004).

The spelling of 4000100000 in words is "four billion, one hundred thousand".