4140510000 has 200 divisors, whose sum is σ = 14582382144. Its totient is φ = 1003680000.

The previous prime is 4140509981. The next prime is 4140510013. The reversal of 4140510000 is 150414.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 323727 + ... + 336273.

Almost surely, 2^4140510000 is an apocalyptic number.

4140510000 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 4140510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291191072).

4140510000 is an abundant number, since it is smaller than the sum of its proper divisors (10441872144).

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

4140510000 is a wasteful number, since it uses less digits than its factorization.

4140510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4140510000 is about 64346.7947919708. The cubic root of 4140510000 is about 1605.7747058253.

Adding to 4140510000 its reverse (150414), we get a palindrome (4140660414).

The spelling of 4140510000 in words is "four billion, one hundred forty million, five hundred ten thousand".