21141222240 has 96 divisors (see below), whose sum is σ = 66773954016. Its totient is φ = 5622497280.

The previous prime is 21141222239. The next prime is 21141222251. The reversal of 21141222240 is 4222214112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×21141222240³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120000 + ... + 238080.

It is an arithmetic number, because the mean of its divisors is an integer number (695562021).

Almost surely, 2^21141222240 is an apocalyptic number.

21141222240 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 21141222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33386977008).

21141222240 is an abundant number, since it is smaller than the sum of its proper divisors (45632731776).

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

21141222240 is a wasteful number, since it uses less digits than its factorization.

21141222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118472 (or 118464 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21141222240 its reverse (4222214112), we get a palindrome (25363436352).

The spelling of 21141222240 in words is "twenty-one billion, one hundred forty-one million, two hundred twenty-two thousand, two hundred forty".