42665663120310 has 192 divisors, whose sum is σ = 118628188286400. Its totient is φ = 10601907019776.

The previous prime is 42665663120309. The next prime is 42665663120371. The reversal of 42665663120310 is 1302136656624.

42665663120310 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 5 + 6 + 631 + 2 + 0 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×42665663120310² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62376082 + ... + 63056378.

It is an arithmetic number, because the mean of its divisors is an integer number (617855147325).

Almost surely, 2^{42665663120310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42665663120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59314094143200).

42665663120310 is an abundant number, since it is smaller than the sum of its proper divisors (75962525166090).

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

42665663120310 is a wasteful number, since it uses less digits than its factorization.

42665663120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680735 (or 680732 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 42665663120310 its reverse (1302136656624), we get a palindrome (43967799776934).

The spelling of 42665663120310 in words is "forty-two trillion, six hundred sixty-five billion, six hundred sixty-three million, one hundred twenty thousand, three hundred ten".