4117126041600 has 2496 divisors, whose sum is σ = 17507141971200. Its totient is φ = 838021939200.

The previous prime is 4117126041551. The next prime is 4117126041647. The reversal of 4117126041600 is 61406217114.

4117126041600 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 (2496).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27631718326 + ... + 27631718474.

Almost surely, 2^{4117126041600} is an apocalyptic number.

4117126041600 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 4117126041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753570985600).

4117126041600 is an abundant number, since it is smaller than the sum of its proper divisors (13390015929600).

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

4117126041600 is a wasteful number, since it uses less digits than its factorization.

4117126041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 4117126041600 in words is "four trillion, one hundred seventeen billion, one hundred twenty-six million, forty-one thousand, six hundred".