42019837317441 has 81 divisors (see below), whose sum is σ = 63019605060867. Its totient is φ = 26979730483680.

The previous prime is 42019837317431. The next prime is 42019837317449. The reversal of 42019837317441 is 14471373891024.

The square root of 42019837317441 is 6482271.

It is a perfect power (a square), and thus also a powerful number.

42019837317441 is a `hidden beast` number, since 4 + 2 + 0 + 198 + 3 + 7 + 3 + 1 + 7 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30291979554225 + 11727857763216 = 5503815^2 + 3424596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-42019837317441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42019837317449) 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 in 80 ways as a sum of consecutive naturals, for example, 60810183906 + ... + 60810184596.

Almost surely, 2^{42019837317441} is an apocalyptic number.

42019837317441 is the 6482271-st square number.

42019837317441 is the 3241136-th centered octagonal number.

It is an amenable number.

42019837317441 is a deficient number, since it is larger than the sum of its proper divisors (20999767743426).

42019837317441 is an frugal number, since it uses more digits than its factorization.

42019837317441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 42019837317441 in words is "forty-two trillion, nineteen billion, eight hundred thirty-seven million, three hundred seventeen thousand, four hundred forty-one".