4140000000 has 432 divisors, whose sum is σ = 15569491392. Its totient is φ = 1056000000.

The previous prime is 4139999993. The next prime is 4140000001. The reversal of 4140000000 is 414.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 (4140000001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179999989 + ... + 180000011.

Almost surely, 2^4140000000 is an apocalyptic number.

4140000000 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 4140000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784745696).

4140000000 is an abundant number, since it is smaller than the sum of its proper divisors (11429491392).

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

4140000000 is an frugal number, since it uses more digits than its factorization.

4140000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4140000000 is about 64342.8317685816. The cubic root of 4140000000 is about 1605.7087736312.

Adding to 4140000000 its reverse (414), we get a palindrome (4140000414).

4140000000 divided by its reverse (414) gives a 7-th power (10000000 = 10⁷).

The spelling of 4140000000 in words is "four billion, one hundred forty million", and thus it is an aban number.