21340001540864 has 144 divisors (see below), whose sum is σ = 43454165852160. Its totient is φ = 10457153064960.

The previous prime is 21340001540839. The next prime is 21340001540867. The reversal of 21340001540864 is 46804510004312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21340001540867) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2636842802 + ... + 2636850894.

It is an arithmetic number, because the mean of its divisors is an integer number (301765040640).

Almost surely, 2^{21340001540864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21340001540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21727082926080).

21340001540864 is an abundant number, since it is smaller than the sum of its proper divisors (22114164311296).

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

21340001540864 is an equidigital number, since it uses as much as digits as its factorization.

21340001540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 21340001540864 in words is "twenty-one trillion, three hundred forty billion, one million, five hundred forty thousand, eight hundred sixty-four".