4281892108320 has 192 divisors, whose sum is σ = 13848757743744. Its totient is φ = 1111475527680.

The previous prime is 4281892108297. The next prime is 4281892108327. The reversal of 4281892108320 is 238012981824.

It is a super-2 number, since 2×4281892108320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4281892108320.

It is not an unprimeable number, because it can be changed into a prime (4281892108327) 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 31 ways as a sum of consecutive naturals, for example, 5693500 + ... + 6401540.

It is an arithmetic number, because the mean of its divisors is an integer number (72128946582).

Almost surely, 2^{4281892108320} is an apocalyptic number.

4281892108320 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 4281892108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924378871872).

4281892108320 is an abundant number, since it is smaller than the sum of its proper divisors (9566865635424).

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

4281892108320 is a wasteful number, since it uses less digits than its factorization.

4281892108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708395 (or 708387 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 4281892108320 in words is "four trillion, two hundred eighty-one billion, eight hundred ninety-two million, one hundred eight thousand, three hundred twenty".