42057909660 has 192 divisors, whose sum is σ = 128501388288. Its totient is φ = 10216267776.

The previous prime is 42057909613. The next prime is 42057909727. The reversal of 42057909660 is 6690975024.

42057909660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28359279 + ... + 28360761.

It is an arithmetic number, because the mean of its divisors is an integer number (669278064).

Almost surely, 2^42057909660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42057909660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64250694144).

42057909660 is an abundant number, since it is smaller than the sum of its proper divisors (86443478628).

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

42057909660 is a wasteful number, since it uses less digits than its factorization.

42057909660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 42057909660 in words is "forty-two billion, fifty-seven million, nine hundred nine thousand, six hundred sixty".