4194666216000 has 1792 divisors, whose sum is σ = 17484568657920. Its totient is φ = 976798310400.

The previous prime is 4194666215983. The next prime is 4194666216007. The reversal of 4194666216000 is 6126664914.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4194666216007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6910487697 + ... + 6910488303.

It is an arithmetic number, because the mean of its divisors is an integer number (9757013760).

Almost surely, 2^{4194666216000} is an apocalyptic number.

4194666216000 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 4194666216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742284328960).

4194666216000 is an abundant number, since it is smaller than the sum of its proper divisors (13289902441920).

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

4194666216000 is a wasteful number, since it uses less digits than its factorization.

4194666216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4194666216000 in words is "four trillion, one hundred ninety-four billion, six hundred sixty-six million, two hundred sixteen thousand".