4117100000000 has 324 divisors, whose sum is σ = 11066338084032. Its totient is φ = 1519680000000.

The previous prime is 4117099999981. The next prime is 4117100000017. The reversal of 4117100000000 is 17114.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1299998417 + ... + 1300001583.

Almost surely, 2^{4117100000000} is an apocalyptic number.

4117100000000 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 4117100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533169042016).

4117100000000 is an abundant number, since it is smaller than the sum of its proper divisors (6949238084032).

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

4117100000000 is an frugal number, since it uses more digits than its factorization.

4117100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 4117100000000 its reverse (17114), we get a palindrome (4117100017114).

The spelling of 4117100000000 in words is "four trillion, one hundred seventeen billion, one hundred million", and thus it is an aban number.