4117910542192 has 80 divisors (see below), whose sum is σ = 8400782628000. Its totient is φ = 1952669537280.

The previous prime is 4117910542157. The next prime is 4117910542253. The reversal of 4117910542192 is 2912450197114.

It is a happy number.

It is a super-2 number, since 2×4117910542192² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10659942 + ... + 11039482.

It is an arithmetic number, because the mean of its divisors is an integer number (105009782850).

Almost surely, 2^{4117910542192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117910542192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200391314000).

4117910542192 is an abundant number, since it is smaller than the sum of its proper divisors (4282872085808).

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

4117910542192 is a wasteful number, since it uses less digits than its factorization.

4117910542192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379994 (or 379988 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 4117910542192 in words is "four trillion, one hundred seventeen billion, nine hundred ten million, five hundred forty-two thousand, one hundred ninety-two".