4028393813760 has 2304 divisors, whose sum is σ = 16508717568000. Its totient is φ = 936500133888.

The previous prime is 4028393813747. The next prime is 4028393813861. The reversal of 4028393813760 is 673183938204.

4028393813760 is a `hidden beast` number, since 40 + 28 + 393 + 8 + 137 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 4028393813697 and 4028393813706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45262851796 + ... + 45262851884.

It is an arithmetic number, because the mean of its divisors is an integer number (7165242000).

Almost surely, 2^{4028393813760} is an apocalyptic number.

4028393813760 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 4028393813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254358784000).

4028393813760 is an abundant number, since it is smaller than the sum of its proper divisors (12480323754240).

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

4028393813760 is an equidigital number, since it uses as much as digits as its factorization.

4028393813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4028393813760 in words is "four trillion, twenty-eight billion, three hundred ninety-three million, eight hundred thirteen thousand, seven hundred sixty".