4208244298272 has 240 divisors, whose sum is σ = 14323424290560. Its totient is φ = 1187135419392.

The previous prime is 4208244298249. The next prime is 4208244298367. The reversal of 4208244298272 is 2728924428024.

It is a happy number.

4208244298272 is a `hidden beast` number, since 4 + 2 + 0 + 82 + 4 + 4 + 298 + 272 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 34573 + ... + 2901324.

It is an arithmetic number, because the mean of its divisors is an integer number (59680934544).

Almost surely, 2^{4208244298272} is an apocalyptic number.

4208244298272 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 4208244298272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161712145280).

4208244298272 is an abundant number, since it is smaller than the sum of its proper divisors (10115179992288).

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

4208244298272 is a wasteful number, since it uses less digits than its factorization.

4208244298272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936005 (or 2935988 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4208244298272 in words is "four trillion, two hundred eight billion, two hundred forty-four million, two hundred ninety-eight thousand, two hundred seventy-two".