42170115505920 has 288 divisors, whose sum is σ = 142737593306112. Its totient is φ = 10573898121216.

The previous prime is 42170115505883. The next prime is 42170115505961. The reversal of 42170115505920 is 2950551107124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69088789 + ... + 69696491.

It is an arithmetic number, because the mean of its divisors is an integer number (495616643424).

Almost surely, 2^{42170115505920} is an apocalyptic number.

42170115505920 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 42170115505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71368796653056).

42170115505920 is an abundant number, since it is smaller than the sum of its proper divisors (100567477800192).

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

42170115505920 is a wasteful number, since it uses less digits than its factorization.

42170115505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608807 (or 608793 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 42170115505920 in words is "forty-two trillion, one hundred seventy billion, one hundred fifteen million, five hundred five thousand, nine hundred twenty".