21742104240 has 360 divisors, whose sum is σ = 79162263648. Its totient is φ = 5542732800.

The previous prime is 21742104239. The next prime is 21742104271. The reversal of 21742104240 is 4240124712.

21742104240 is a `hidden beast` number, since 21 + 7 + 4 + 210 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 12071340 + ... + 12073140.

Almost surely, 2^21742104240 is an apocalyptic number.

21742104240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21742104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39581131824).

21742104240 is an abundant number, since it is smaller than the sum of its proper divisors (57420159408).

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

21742104240 is an equidigital number, since it uses as much as digits as its factorization.

21742104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 21742104240 its reverse (4240124712), we get a palindrome (25982228952).

The spelling of 21742104240 in words is "twenty-one billion, seven hundred forty-two million, one hundred four thousand, two hundred forty".