4142828308080 has 960 divisors, whose sum is σ = 16761715181568. Its totient is φ = 827904000000.

The previous prime is 4142828308079. The next prime is 4142828308111. The reversal of 4142828308080 is 808038282414.

4142828308080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591744580 + ... + 591751580.

Almost surely, 2^{4142828308080} is an apocalyptic number.

4142828308080 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 4142828308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380857590784).

4142828308080 is an abundant number, since it is smaller than the sum of its proper divisors (12618886873488).

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

4142828308080 is a wasteful number, since it uses less digits than its factorization.

4142828308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 4142828308080 in words is "four trillion, one hundred forty-two billion, eight hundred twenty-eight million, three hundred eight thousand, eighty".