642066460440 has 256 divisors, whose sum is σ = 2084888678400. Its totient is φ = 157566836736.

The previous prime is 642066460439. The next prime is 642066460499. The reversal of 642066460440 is 44064660246.

642066460440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 642066460392 and 642066460401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126463182 + ... + 126468258.

It is an arithmetic number, because the mean of its divisors is an integer number (8144096400).

Almost surely, 2^642066460440 is an apocalyptic number.

642066460440 is a gapful number since it is divisible by the number (60) 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 642066460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042444339200).

642066460440 is an abundant number, since it is smaller than the sum of its proper divisors (1442822217960).

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

642066460440 is a wasteful number, since it uses less digits than its factorization.

642066460440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 642066460440 in words is "six hundred forty-two billion, sixty-six million, four hundred sixty thousand, four hundred forty".