202660042416 has 160 divisors (see below), whose sum is σ = 593826992640. Its totient is φ = 59087880192.

The previous prime is 202660042411. The next prime is 202660042493. The reversal of 202660042416 is 614240066202.

202660042416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202660042411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1469680 + ... + 1601648.

It is an arithmetic number, because the mean of its divisors is an integer number (3711418704).

Almost surely, 2^202660042416 is an apocalyptic number.

202660042416 is a gapful number since it is divisible by the number (26) 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 202660042416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296913496320).

202660042416 is an abundant number, since it is smaller than the sum of its proper divisors (391166950224).

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

202660042416 is a wasteful number, since it uses less digits than its factorization.

202660042416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132123 (or 132117 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 202660042416 in words is "two hundred two billion, six hundred sixty million, forty-two thousand, four hundred sixteen".