4202818279968 has 1152 divisors, whose sum is σ = 15136833761280. Its totient is φ = 1005984645120.

The previous prime is 4202818279943. The next prime is 4202818279969. The reversal of 4202818279968 is 8699728182024.

4202818279968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4202818279899 and 4202818279908.

It is not an unprimeable number, because it can be changed into a prime (4202818279969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13689961671 + ... + 13689961977.

It is an arithmetic number, because the mean of its divisors is an integer number (13139612640).

Almost surely, 2^{4202818279968} is an apocalyptic number.

4202818279968 is a gapful number since it is divisible by the number (48) 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 4202818279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568416880640).

4202818279968 is an abundant number, since it is smaller than the sum of its proper divisors (10934015481312).

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

4202818279968 is a wasteful number, since it uses less digits than its factorization.

4202818279968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 4202818279968 in words is "four trillion, two hundred two billion, eight hundred eighteen million, two hundred seventy-nine thousand, nine hundred sixty-eight".