4140140000 has 120 divisors (see below), whose sum is σ = 10266501168. Its totient is φ = 1642880000.

The previous prime is 4140139973. The next prime is 4140140009. The reversal of 4140140000 is 410414.

4140140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140140009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2739245 + ... + 2740755.

Almost surely, 2^4140140000 is an apocalyptic number.

4140140000 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 4140140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133250584).

4140140000 is an abundant number, since it is smaller than the sum of its proper divisors (6126361168).

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

4140140000 is a wasteful number, since it uses less digits than its factorization.

4140140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4140140000 is about 64343.9196816607. The cubic root of 4140140000 is about 1605.7268732041.

Adding to 4140140000 its reverse (410414), we get a palindrome (4140550414).

The spelling of 4140140000 in words is "four billion, one hundred forty million, one hundred forty thousand".