42144210331040 has 48 divisors (see below), whose sum is σ = 102777493593600. Its totient is φ = 16313887868160.

The previous prime is 42144210331001. The next prime is 42144210331063. The reversal of 42144210331040 is 4013301244124.

42144210331040 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-3 number, since 3×42144210331040³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42144210330994 and 42144210331012.

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 7 ways as a sum of consecutive naturals, for example, 4248403340 + ... + 4248413259.

It is an arithmetic number, because the mean of its divisors is an integer number (2141197783200).

Almost surely, 2^{42144210331040} is an apocalyptic number.

42144210331040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144210331040 is an abundant number, since it is smaller than the sum of its proper divisors (60633283262560).

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

42144210331040 is a wasteful number, since it uses less digits than its factorization.

42144210331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496816645 (or 8496816637 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 42144210331040 its reverse (4013301244124), we get a palindrome (46157511575164).

The spelling of 42144210331040 in words is "forty-two trillion, one hundred forty-four billion, two hundred ten million, three hundred thirty-one thousand, forty".