4113140000 has 60 divisors (see below), whose sum is σ = 10118990574. Its totient is φ = 1645248000.

The previous prime is 4113139991. The next prime is 4113140051. The reversal of 4113140000 is 413114.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 226576 + 4112913424 = 476^2 + 64132^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82829 + ... + 122828.

Almost surely, 2^4113140000 is an apocalyptic number.

4113140000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113140000 is an abundant number, since it is smaller than the sum of its proper divisors (6005850574).

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

4113140000 is an equidigital number, since it uses as much as digits as its factorization.

4113140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205687 (or 205664 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4113140000 is about 64133.7664573039. The cubic root of 4113140000 is about 1602.2286650495.

Adding to 4113140000 its reverse (413114), we get a palindrome (4113553114).

The spelling of 4113140000 in words is "four billion, one hundred thirteen million, one hundred forty thousand".