4118666076000 has 3072 divisors, whose sum is σ = 18668885114880. Its totient is φ = 862202880000.

The previous prime is 4118666075999. The next prime is 4118666076103. The reversal of 4118666076000 is 6706668114.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 61472627967 + ... + 61472628033.

It is an arithmetic number, because the mean of its divisors is an integer number (6077111040).

Almost surely, 2^{4118666076000} is an apocalyptic number.

4118666076000 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 4118666076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334442557440).

4118666076000 is an abundant number, since it is smaller than the sum of its proper divisors (14550219038880).

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

4118666076000 is a wasteful number, since it uses less digits than its factorization.

4118666076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4118666076000 in words is "four trillion, one hundred eighteen billion, six hundred sixty-six million, seventy-six thousand".