4218363918144 has 448 divisors, whose sum is σ = 12907211980800. Its totient is φ = 1349552793600.

The previous prime is 4218363918143. The next prime is 4218363918151. The reversal of 4218363918144 is 4418193638124.

4218363918144 is a `hidden beast` number, since 4 + 218 + 36 + 391 + 8 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218363918143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4256673489 + ... + 4256674479.

Almost surely, 2^{4218363918144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218363918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453605990400).

4218363918144 is an abundant number, since it is smaller than the sum of its proper divisors (8688848062656).

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

4218363918144 is a wasteful number, since it uses less digits than its factorization.

4218363918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1603 counting only the distinct ones).

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

The spelling of 4218363918144 in words is "four trillion, two hundred eighteen billion, three hundred sixty-three million, nine hundred eighteen thousand, one hundred forty-four".