4252828769280 has 2464 divisors, whose sum is σ = 19846375718400. Its totient is φ = 848783867904.

The previous prime is 4252828769279. The next prime is 4252828769311. The reversal of 4252828769280 is 829678282524.

4252828769280 is a `hidden beast` number, since 4 + 2 + 5 + 282 + 8 + 76 + 9 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6453457591 + ... + 6453458249.

It is an arithmetic number, because the mean of its divisors is an integer number (8054535600).

Almost surely, 2^{4252828769280} is an apocalyptic number.

4252828769280 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 4252828769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923187859200).

4252828769280 is an abundant number, since it is smaller than the sum of its proper divisors (15593546949120).

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

4252828769280 is a wasteful number, since it uses less digits than its factorization.

4252828769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 4252828769280 in words is "four trillion, two hundred fifty-two billion, eight hundred twenty-eight million, seven hundred sixty-nine thousand, two hundred eighty".