42489164641 has 27 divisors (see below), whose sum is σ = 54348242067. Its totient is φ = 33096072240.

The previous prime is 42489164629. The next prime is 42489164651. The reversal of 42489164641 is 14646198424.

The square root of 42489164641 is 206129.

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

It can be written as a sum of positive squares in only one way, i.e., 789891025 + 41699273616 = 28105^2 + 204204^2 .

It is not a de Polignac number, because 42489164641 - 2⁷ = 42489164513 is a prime.

It is a super-2 number, since 2×42489164641² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (42489164651) 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 26 ways as a sum of consecutive naturals, for example, 15870595 + ... + 15873271.

Almost surely, 2^42489164641 is an apocalyptic number.

42489164641 is the 206129-th square number.

42489164641 is the 103065-th centered octagonal number.

It is an amenable number.

42489164641 is a deficient number, since it is larger than the sum of its proper divisors (11859077426).

42489164641 is an frugal number, since it uses more digits than its factorization.

42489164641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 2695 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

Multiplying 42489164641 by its sum of digits (49), we get a square (2081969067409 = 1442903²).

42489164641 divided by its sum of digits (49) gives a square (867125809 = 29447²).

The spelling of 42489164641 in words is "forty-two billion, four hundred eighty-nine million, one hundred sixty-four thousand, six hundred forty-one".