21464455357440 has 528 divisors, whose sum is σ = 77026557104640. Its totient is φ = 5523128647680.

The previous prime is 21464455357421. The next prime is 21464455357447. The reversal of 21464455357440 is 4475355446412.

21464455357440 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 44 + 553 + 5 + 7 + 4 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (21464455357447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 153699166 + ... + 153838754.

It is an arithmetic number, because the mean of its divisors is an integer number (145883630880).

Almost surely, 2^{21464455357440} is an apocalyptic number.

21464455357440 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 21464455357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38513278552320).

21464455357440 is an abundant number, since it is smaller than the sum of its proper divisors (55562101747200).

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

21464455357440 is a wasteful number, since it uses less digits than its factorization.

21464455357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139738 (or 139717 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 54.

The spelling of 21464455357440 in words is "twenty-one trillion, four hundred sixty-four billion, four hundred fifty-five million, three hundred fifty-seven thousand, four hundred forty".