42260161752 has 160 divisors (see below), whose sum is σ = 120748320000. Its totient is φ = 13804903872.

The previous prime is 42260161717. The next prime is 42260161763. The reversal of 42260161752 is 25716106224.

It is a happy number.

42260161752 is a `hidden beast` number, since 42 + 2 + 601 + 6 + 1 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13723749 + ... + 13726827.

It is an arithmetic number, because the mean of its divisors is an integer number (754677000).

Almost surely, 2^42260161752 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 42260161752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374160000).

42260161752 is an abundant number, since it is smaller than the sum of its proper divisors (78488158248).

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

42260161752 is a wasteful number, since it uses less digits than its factorization.

42260161752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 42260161752 its reverse (25716106224), we get a palindrome (67976267976).

The spelling of 42260161752 in words is "forty-two billion, two hundred sixty million, one hundred sixty-one thousand, seven hundred fifty-two".