4128204245760 has 648 divisors, whose sum is σ = 17337550819680. Its totient is φ = 902561071104.

The previous prime is 4128204245731. The next prime is 4128204245771. The reversal of 4128204245760 is 675424028214.

4128204245760 is a `hidden beast` number, since 4 + 12 + 8 + 20 + 42 + 4 + 576 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12824056 + ... + 13142024.

It is an arithmetic number, because the mean of its divisors is an integer number (26755479660).

Almost surely, 2^{4128204245760} is an apocalyptic number.

4128204245760 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 4128204245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668775409840).

4128204245760 is an abundant number, since it is smaller than the sum of its proper divisors (13209346573920).

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

4128204245760 is a wasteful number, since it uses less digits than its factorization.

4128204245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318033 (or 318009 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4128204245760 in words is "four trillion, one hundred twenty-eight billion, two hundred four million, two hundred forty-five thousand, seven hundred sixty".