4198494312144 has 240 divisors, whose sum is σ = 13568516470080. Its totient is φ = 1199831592960.

The previous prime is 4198494312109. The next prime is 4198494312151. The reversal of 4198494312144 is 4412134948914.

4198494312144 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 494 + 3 + 1 + 2 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 912472 + ... + 3038024.

It is an arithmetic number, because the mean of its divisors is an integer number (56535485292).

Almost surely, 2^{4198494312144} is an apocalyptic number.

4198494312144 is a gapful number since it is divisible by the number (44) 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 4198494312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784258235040).

4198494312144 is an abundant number, since it is smaller than the sum of its proper divisors (9370022157936).

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

4198494312144 is a wasteful number, since it uses less digits than its factorization.

4198494312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125650 (or 2125641 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 4198494312144 in words is "four trillion, one hundred ninety-eight billion, four hundred ninety-four million, three hundred twelve thousand, one hundred forty-four".