42412431312 has 120 divisors (see below), whose sum is σ = 120900967200. Its totient is φ = 13875611904.

The previous prime is 42412431289. The next prime is 42412431323. The reversal of 42412431312 is 21313421424.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5799114 + ... + 5806422.

It is an arithmetic number, because the mean of its divisors is an integer number (1007508060).

Almost surely, 2^42412431312 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 42412431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60450483600).

42412431312 is an abundant number, since it is smaller than the sum of its proper divisors (78488535888).

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

42412431312 is a wasteful number, since it uses less digits than its factorization.

42412431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8056 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 42412431312 its reverse (21313421424), we get a palindrome (63725852736).

The spelling of 42412431312 in words is "forty-two billion, four hundred twelve million, four hundred thirty-one thousand, three hundred twelve".