42605450624 has 32 divisors (see below), whose sum is σ = 92594235240. Its totient is φ = 19366113280.

The previous prime is 42605450617. The next prime is 42605450639.

42605450624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15128369 + ... + 15131184.

Almost surely, 2^42605450624 is an apocalyptic number.

42605450624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42605450624 is an abundant number, since it is smaller than the sum of its proper divisors (49988784616).

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

42605450624 is a wasteful number, since it uses less digits than its factorization.

42605450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30259578 (or 30259566 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 42605450624 in words is "forty-two billion, six hundred five million, four hundred fifty thousand, six hundred twenty-four".