21484245565440 has 960 divisors, whose sum is σ = 91095489515520. Its totient is φ = 4697098813440.

The previous prime is 21484245565309. The next prime is 21484245565451. The reversal of 21484245565440 is 4456554248412.

21484245565440 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 4 + 2 + 45 + 56 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21484245565440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356076075 + ... + 356136405.

It is an arithmetic number, because the mean of its divisors is an integer number (94891134912).

Almost surely, 2^{21484245565440} is an apocalyptic number.

21484245565440 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 21484245565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45547744757760).

21484245565440 is an abundant number, since it is smaller than the sum of its proper divisors (69611243950080).

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

21484245565440 is an equidigital number, since it uses as much as digits as its factorization.

21484245565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60403 (or 60371 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 54.

The spelling of 21484245565440 in words is "twenty-one trillion, four hundred eighty-four billion, two hundred forty-five million, five hundred sixty-five thousand, four hundred forty".