4179851816112 has 720 divisors, whose sum is σ = 14923137715200. Its totient is φ = 1084729605120.

The previous prime is 4179851816089. The next prime is 4179851816137. The reversal of 4179851816112 is 2116181589714.

4179851816112 is a `hidden beast` number, since 4 + 1 + 7 + 9 + 8 + 5 + 18 + 1 + 611 + 2 = 666.

It is a super-2 number, since 2×4179851816112² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 452997643 + ... + 453006869.

It is an arithmetic number, because the mean of its divisors is an integer number (20726580160).

Almost surely, 2^{4179851816112} is an apocalyptic number.

4179851816112 is a gapful number since it is divisible by the number (42) 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 4179851816112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461568857600).

4179851816112 is an abundant number, since it is smaller than the sum of its proper divisors (10743285899088).

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

4179851816112 is a wasteful number, since it uses less digits than its factorization.

4179851816112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9398 counting only the distinct ones).

The product of its digits is 967680, while the sum is 54.

The spelling of 4179851816112 in words is "four trillion, one hundred seventy-nine billion, eight hundred fifty-one million, eight hundred sixteen thousand, one hundred twelve".