42130678061310 has 512 divisors, whose sum is σ = 114921119416320. Its totient is φ = 9838518681600.

The previous prime is 42130678061293. The next prime is 42130678061317. The reversal of 42130678061310 is 1316087603124.

It is a happy number.

It is a super-2 number, since 2×42130678061310² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130678061317) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8054036395 + ... + 8054041625.

It is an arithmetic number, because the mean of its divisors is an integer number (224455311360).

Almost surely, 2^{42130678061310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130678061310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57460559708160).

42130678061310 is an abundant number, since it is smaller than the sum of its proper divisors (72790441355010).

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

42130678061310 is a wasteful number, since it uses less digits than its factorization.

42130678061310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 42130678061310 in words is "forty-two trillion, one hundred thirty billion, six hundred seventy-eight million, sixty-one thousand, three hundred ten".