17920641424 has 75 divisors (see below), whose sum is σ = 40565098763. Its totient is φ = 7669029984.

The previous prime is 17920641397. The next prime is 17920641433. The reversal of 17920641424 is 42414602971.

The square root of 17920641424 is 133868.

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

It is a super-2 number, since 2×17920641424² (a number of 21 digits) contains 22 as substring.

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 14 ways as a sum of consecutive naturals, for example, 26237787 + ... + 26238469.

Almost surely, 2^17920641424 is an apocalyptic number.

17920641424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

17920641424 is the 133868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17920641424

17920641424 is an abundant number, since it is smaller than the sum of its proper divisors (22644457339).

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

17920641424 is an frugal number, since it uses more digits than its factorization.

17920641424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

It can be divided in two parts, 17920 and 641424, that added together give a square (659344 = 812²).

The spelling of 17920641424 in words is "seventeen billion, nine hundred twenty million, six hundred forty-one thousand, four hundred twenty-four".