42001344104144 has 10 divisors (see below), whose sum is σ = 81377604201810. Its totient is φ = 21000672052064.

The previous prime is 42001344104143. The next prime is 42001344104177. The reversal of 42001344104144 is 44140144310024.

It can be written as a sum of positive squares in only one way, i.e., 32526718368400 + 9474625735744 = 5703220^2 + 3078088^2 .

It is a super-2 number, since 2×42001344104144² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42001344104144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001344104143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1312542003239 + ... + 1312542003270.

It is an arithmetic number, because the mean of its divisors is an integer number (8137760420181).

Almost surely, 2^{42001344104144} is an apocalyptic number.

It is an amenable number.

42001344104144 is a deficient number, since it is larger than the sum of its proper divisors (39376260097666).

42001344104144 is a wasteful number, since it uses less digits than its factorization.

42001344104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625084006517 (or 2625084006511 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 42001344104144 its reverse (44140144310024), we get a palindrome (86141488414168).

The spelling of 42001344104144 in words is "forty-two trillion, one billion, three hundred forty-four million, one hundred four thousand, one hundred forty-four".