42165285242080 has 768 divisors, whose sum is σ = 141796039311360. Its totient is φ = 11422782259200.

The previous prime is 42165285242063. The next prime is 42165285242107. The reversal of 42165285242080 is 8024258256124.

It is a happy number.

It is a super-2 number, since 2×42165285242080² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183588756 + ... + 183818284.

It is an arithmetic number, because the mean of its divisors is an integer number (184630259520).

Almost surely, 2^{42165285242080} is an apocalyptic number.

42165285242080 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 42165285242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70898019655680).

42165285242080 is an abundant number, since it is smaller than the sum of its proper divisors (99630754069280).

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

42165285242080 is a wasteful number, since it uses less digits than its factorization.

42165285242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229643 (or 229635 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 49.

The spelling of 42165285242080 in words is "forty-two trillion, one hundred sixty-five billion, two hundred eighty-five million, two hundred forty-two thousand, eighty".