4135540000 has 120 divisors (see below), whose sum is σ = 10710509040. Its totient is φ = 1567008000.

The previous prime is 4135539977. The next prime is 4135540039. The reversal of 4135540000 is 455314.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 374559 + ... + 385441.

It is an arithmetic number, because the mean of its divisors is an integer number (89254242).

Almost surely, 2^4135540000 is an apocalyptic number.

4135540000 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 4135540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355254520).

4135540000 is an abundant number, since it is smaller than the sum of its proper divisors (6574969040).

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

4135540000 is a wasteful number, since it uses less digits than its factorization.

4135540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 4135540000 is about 64308.1643339320. The cubic root of 4135540000 is about 1605.1319592723.

Adding to 4135540000 its reverse (455314), we get a palindrome (4135995314).

The spelling of 4135540000 in words is "four billion, one hundred thirty-five million, five hundred forty thousand".