4283642880000 has 1680 divisors, whose sum is σ = 17549176540896. Its totient is φ = 1035141120000.

The previous prime is 4283642879993. The next prime is 4283642880001. The reversal of 4283642880000 is 882463824.

4283642880000 is a `hidden beast` number, since 4 + 2 + 8 + 364 + 288 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4283642880001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13685759844 + ... + 13685760156.

Almost surely, 2^{4283642880000} is an apocalyptic number.

4283642880000 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 4283642880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774588270448).

4283642880000 is an abundant number, since it is smaller than the sum of its proper divisors (13265533660896).

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

4283642880000 is an frugal number, since it uses more digits than its factorization.

4283642880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4283642880000 in words is "four trillion, two hundred eighty-three billion, six hundred forty-two million, eight hundred eighty thousand".