21190042624 has 33 divisors (see below), whose sum is σ = 42368705697. Its totient is φ = 10592692224.

The previous prime is 21190042603. The next prime is 21190042639. The reversal of 21190042624 is 42624009112.

The square root of 21190042624 is 145568.

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., 15583028224 + 5607014400 = 124832^2 + 74880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4655902 + ... + 4660450.

Almost surely, 2^21190042624 is an apocalyptic number.

21190042624 is the 145568-th square number.

It is an amenable number.

21190042624 is a deficient number, since it is larger than the sum of its proper divisors (21178663073).

21190042624 is an frugal number, since it uses more digits than its factorization.

21190042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 21190042624 in words is "twenty-one billion, one hundred ninety million, forty-two thousand, six hundred twenty-four".