42181142640 has 960 divisors, whose sum is σ = 172531814400. Its totient is φ = 8332886016.

The previous prime is 42181142581. The next prime is 42181142657. The reversal of 42181142640 is 4624118124.

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, 386982906 + ... + 386983014.

It is an arithmetic number, because the mean of its divisors is an integer number (179720640).

Almost surely, 2^42181142640 is an apocalyptic number.

42181142640 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 42181142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86265907200).

42181142640 is an abundant number, since it is smaller than the sum of its proper divisors (130350671760).

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

42181142640 is a wasteful number, since it uses less digits than its factorization.

42181142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 42181142640 in words is "forty-two billion, one hundred eighty-one million, one hundred forty-two thousand, six hundred forty".