1020242016416 has 48 divisors (see below), whose sum is σ = 2324602103040. Its totient is φ = 431711804160.

The previous prime is 1020242016407. The next prime is 1020242016419. The reversal of 1020242016416 is 6146102420201.

It is a super-2 number, since 2×1020242016416² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020242016419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28809215 + ... + 28844606.

It is an arithmetic number, because the mean of its divisors is an integer number (48429210480).

Almost surely, 2^{1020242016416} is an apocalyptic number.

1020242016416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1020242016416 is an abundant number, since it is smaller than the sum of its proper divisors (1304360086624).

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

1020242016416 is an equidigital number, since it uses as much as digits as its factorization.

1020242016416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57653917 (or 57653909 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1020242016416 its reverse (6146102420201), we get a palindrome (7166344436617).

The spelling of 1020242016416 in words is "one trillion, twenty billion, two hundred forty-two million, sixteen thousand, four hundred sixteen".