42021414304512 has 144 divisors (see below), whose sum is σ = 117894863157120. Its totient is φ = 13250713190400.

The previous prime is 42021414304501. The next prime is 42021414304523. The reversal of 42021414304512 is 21540341412024.

It is an interprime number because it is at equal distance from previous prime (42021414304501) and next prime (42021414304523).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7999312 + ... + 12166832.

It is an arithmetic number, because the mean of its divisors is an integer number (818714327480).

Almost surely, 2^{42021414304512} 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 42021414304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58947431578560).

42021414304512 is an abundant number, since it is smaller than the sum of its proper divisors (75873448852608).

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

42021414304512 is a wasteful number, since it uses less digits than its factorization.

42021414304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168250 (or 4168236 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 42021414304512 its reverse (21540341412024), we get a palindrome (63561755716536).

The spelling of 42021414304512 in words is "forty-two trillion, twenty-one billion, four hundred fourteen million, three hundred four thousand, five hundred twelve".