21159741504240 has 240 divisors, whose sum is σ = 77275108505088. Its totient is φ = 5167148212224.

The previous prime is 21159741504227. The next prime is 21159741504247. The reversal of 21159741504240 is 4240514795112.

It is a happy number.

21159741504240 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 9 + 74 + 150 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21159741504247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22908432 + ... + 23814191.

Almost surely, 2^{21159741504240} is an apocalyptic number.

21159741504240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21159741504240 is an abundant number, since it is smaller than the sum of its proper divisors (56115367000848).

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

21159741504240 is a wasteful number, since it uses less digits than its factorization.

21159741504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46722696 (or 46722687 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 21159741504240 in words is "twenty-one trillion, one hundred fifty-nine billion, seven hundred forty-one million, five hundred four thousand, two hundred forty".