4198446078120 has 1152 divisors, whose sum is σ = 17039743718400. Its totient is φ = 877628915712.

The previous prime is 4198446078119. The next prime is 4198446078139. The reversal of 4198446078120 is 218706448914.

4198446078120 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 4 + 4 + 607 + 8 + 1 + 20 = 666.

It is a Cunningham number, because it is equal to 2049011²-1.

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 287 ways as a sum of consecutive naturals, for example, 5921644326 + ... + 5921645034.

It is an arithmetic number, because the mean of its divisors is an integer number (14791444200).

Almost surely, 2^{4198446078120} is an apocalyptic number.

4198446078120 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 4198446078120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519871859200).

4198446078120 is an abundant number, since it is smaller than the sum of its proper divisors (12841297640280).

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

4198446078120 is a wasteful number, since it uses less digits than its factorization.

4198446078120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4198446078120 in words is "four trillion, one hundred ninety-eight billion, four hundred forty-six million, seventy-eight thousand, one hundred twenty".