21454301440000 has 1920 divisors, whose sum is σ = 68773985280000. Its totient is φ = 6569164800000.

The previous prime is 21454301439889. The next prime is 21454301440097. The reversal of 21454301440000 is 4410345412.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 107810559901 + ... + 107810560099.

It is an arithmetic number, because the mean of its divisors is an integer number (35819784000).

Almost surely, 2^{21454301440000} is an apocalyptic number.

21454301440000 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 21454301440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34386992640000).

21454301440000 is an abundant number, since it is smaller than the sum of its proper divisors (47319683840000).

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

21454301440000 is a wasteful number, since it uses less digits than its factorization.

21454301440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 21454301440000 its reverse (4410345412), we get a palindrome (21458711785412).

The spelling of 21454301440000 in words is "twenty-one trillion, four hundred fifty-four billion, three hundred one million, four hundred forty thousand".