42310535680 has 240 divisors, whose sum is σ = 124956741096. Its totient is φ = 13652459520.

The previous prime is 42310535671. The next prime is 42310535689. The reversal of 42310535680 is 8653501324.

It is an interprime number because it is at equal distance from previous prime (42310535671) and next prime (42310535689).

It can be written as a sum of positive squares in 4 ways, for example, as 26264740096 + 16045795584 = 162064^2 + 126672^2 .

It is not an unprimeable number, because it can be changed into a prime (42310535689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122560 + ... + 2142400.

Almost surely, 2^42310535680 is an apocalyptic number.

42310535680 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 42310535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62478370548).

42310535680 is an abundant number, since it is smaller than the sum of its proper divisors (82646205416).

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

42310535680 is a wasteful number, since it uses less digits than its factorization.

42310535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19895 (or 19872 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 42310535680 in words is "forty-two billion, three hundred ten million, five hundred thirty-five thousand, six hundred eighty".