4117260000 has 240 divisors, whose sum is σ = 15436358784. Its totient is φ = 940992000.

The previous prime is 4117259999. The next prime is 4117260011. The reversal of 4117260000 is 627114.

4117260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 415099 + ... + 424901.

Almost surely, 2^4117260000 is an apocalyptic number.

4117260000 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 4117260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718179392).

4117260000 is an abundant number, since it is smaller than the sum of its proper divisors (11319098784).

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

4117260000 is an equidigital number, since it uses as much as digits as its factorization.

4117260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4117260000 is about 64165.8787830417. The cubic root of 4117260000 is about 1602.7634534968.

Adding to 4117260000 its reverse (627114), we get a palindrome (4117887114).

The spelling of 4117260000 in words is "four billion, one hundred seventeen million, two hundred sixty thousand".