42031440144120 has 128 divisors (see below), whose sum is σ = 148002600153600. Its totient is φ = 9347532627456.

The previous prime is 42031440144097. The next prime is 42031440144203. The reversal of 42031440144120 is 2144104413024.

It is a happy number.

42031440144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 676150390 + ... + 676212549.

It is an arithmetic number, because the mean of its divisors is an integer number (1156270313700).

Almost surely, 2^{42031440144120} is an apocalyptic number.

42031440144120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42031440144120 is an abundant number, since it is smaller than the sum of its proper divisors (105971160009480).

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

42031440144120 is a wasteful number, since it uses less digits than its factorization.

42031440144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352362997 (or 1352362993 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42031440144120 its reverse (2144104413024), we get a palindrome (44175544557144).

The spelling of 42031440144120 in words is "forty-two trillion, thirty-one billion, four hundred forty million, one hundred forty-four thousand, one hundred twenty".