4016000000 has 154 divisors (see below), whose sum is σ = 10074949164. Its totient is φ = 1600000000.

The previous prime is 4015999991. The next prime is 4016000041. The reversal of 4016000000 is 6104.

4016000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4016000000² = 32256512000000000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999875 + ... + 16000125.

Almost surely, 2^4016000000 is an apocalyptic number.

4016000000 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 4016000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037474582).

4016000000 is an abundant number, since it is smaller than the sum of its proper divisors (6058949164).

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

4016000000 is an frugal number, since it uses more digits than its factorization.

4016000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4016000000 is about 63371.9180710194. The cubic root of 4016000000 is about 1589.5147709124.

Adding to 4016000000 its reverse (6104), we get a palindrome (4016006104).

The spelling of 4016000000 in words is "four billion, sixteen million", and thus it is an aban number.