42012104102144 has 72 divisors (see below), whose sum is σ = 91738575311040. Its totient is φ = 19043217152000.

The previous prime is 42012104102141. The next prime is 42012104102179. The reversal of 42012104102144 is 44120140121024.

It is not an unprimeable number, because it can be changed into a prime (42012104102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19767707 + ... + 21789594.

It is an arithmetic number, because the mean of its divisors is an integer number (1274146879320).

Almost surely, 2^{42012104102144} is an apocalyptic number.

42012104102144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42012104102144 is an abundant number, since it is smaller than the sum of its proper divisors (49726471208896).

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

42012104102144 is a wasteful number, since it uses less digits than its factorization.

42012104102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41557687 (or 41557673 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 42012104102144 its reverse (44120140121024), we get a palindrome (86132244223168).

The spelling of 42012104102144 in words is "forty-two trillion, twelve billion, one hundred four million, one hundred two thousand, one hundred forty-four".