4028821960320 has 384 divisors, whose sum is σ = 14892700193280. Its totient is φ = 1039694745600.

The previous prime is 4028821960297. The next prime is 4028821960327. The reversal of 4028821960320 is 230691288204.

4028821960320 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 8 + 2 + 19 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (4028821960327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4403290 + ... + 5238950.

It is an arithmetic number, because the mean of its divisors is an integer number (38783073420).

Almost surely, 2^{4028821960320} is an apocalyptic number.

4028821960320 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 4028821960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446350096640).

4028821960320 is an abundant number, since it is smaller than the sum of its proper divisors (10863878232960).

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

4028821960320 is an equidigital number, since it uses as much as digits as its factorization.

4028821960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835726 (or 835702 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4028821960320 in words is "four trillion, twenty-eight billion, eight hundred twenty-one million, nine hundred sixty thousand, three hundred twenty".