21141241440 has 96 divisors (see below), whose sum is σ = 72649011456. Its totient is φ = 5125148160.

The previous prime is 21141241393. The next prime is 21141241441. The reversal of 21141241440 is 4414214112.

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

It is a super-3 number, since 3×21141241440³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21141241440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141241441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996732 + ... + 2007291.

It is an arithmetic number, because the mean of its divisors is an integer number (756760536).

Almost surely, 2^21141241440 is an apocalyptic number.

21141241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21141241440 is an abundant number, since it is smaller than the sum of its proper divisors (51507770016).

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

21141241440 is a wasteful number, since it uses less digits than its factorization.

21141241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004052 (or 4004044 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21141241440 its reverse (4414214112), we get a palindrome (25555455552).

The spelling of 21141241440 in words is "twenty-one billion, one hundred forty-one million, two hundred forty-one thousand, four hundred forty".