42042214312 has 192 divisors, whose sum is σ = 97118784000. Its totient is φ = 16688415744.

The previous prime is 42042214267. The next prime is 42042214339. The reversal of 42042214312 is 21341224024.

42042214312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42042214312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532179889 + ... + 532179967.

It is an arithmetic number, because the mean of its divisors is an integer number (505827000).

Almost surely, 2^42042214312 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 42042214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48559392000).

42042214312 is an abundant number, since it is smaller than the sum of its proper divisors (55076569688).

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

42042214312 is a wasteful number, since it uses less digits than its factorization.

42042214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42042214312 its reverse (21341224024), we get a palindrome (63383438336).

The spelling of 42042214312 in words is "forty-two billion, forty-two million, two hundred fourteen thousand, three hundred twelve".