21214026552240 has 160 divisors (see below), whose sum is σ = 73110632048640. Its totient is φ = 5653969530624.

The previous prime is 21214026552233. The next prime is 21214026552253. The reversal of 21214026552240 is 4225562041212.

21214026552240 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 40 + 26 + 552 + 2 + 40 = 666.

21214026552240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21214026552195 and 21214026552204.

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 31 ways as a sum of consecutive naturals, for example, 1243959 + ... + 6631401.

It is an arithmetic number, because the mean of its divisors is an integer number (456941450304).

Almost surely, 2^{21214026552240} is an apocalyptic number.

21214026552240 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 21214026552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36555316024320).

21214026552240 is an abundant number, since it is smaller than the sum of its proper divisors (51896605496400).

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

21214026552240 is a wasteful number, since it uses less digits than its factorization.

21214026552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389288 (or 5389276 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 21214026552240 its reverse (4225562041212), we get a palindrome (25439588593452).

The spelling of 21214026552240 in words is "twenty-one trillion, two hundred fourteen billion, twenty-six million, five hundred fifty-two thousand, two hundred forty".