4116124560000 has 320 divisors, whose sum is σ = 13671987563520. Its totient is φ = 1096866816000.

The previous prime is 4116124559999. The next prime is 4116124560013. The reversal of 4116124560000 is 654216114.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4116124560000.

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 39 ways as a sum of consecutive naturals, for example, 399114844 + ... + 399125156.

It is an arithmetic number, because the mean of its divisors is an integer number (42724961136).

Almost surely, 2^{4116124560000} is an apocalyptic number.

4116124560000 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 4116124560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835993781760).

4116124560000 is an abundant number, since it is smaller than the sum of its proper divisors (9555863003520).

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

4116124560000 is a wasteful number, since it uses less digits than its factorization.

4116124560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12013 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 4116124560000 its reverse (654216114), we get a palindrome (4116778776114).

The spelling of 4116124560000 in words is "four trillion, one hundred sixteen billion, one hundred twenty-four million, five hundred sixty thousand".