21453315287040 has 1728 divisors, whose sum is σ = 94476203902080. Its totient is φ = 4461794426880.

The previous prime is 21453315287021. The next prime is 21453315287093. The reversal of 21453315287040 is 4078251335412.

21453315287040 is a `hidden beast` number, since 2 + 1 + 4 + 53 + 3 + 1 + 528 + 70 + 4 + 0 = 666.

21453315287040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4168117747 + ... + 4168122893.

It is an arithmetic number, because the mean of its divisors is an integer number (54673729110).

Almost surely, 2^{21453315287040} is an apocalyptic number.

21453315287040 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 21453315287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47238101951040).

21453315287040 is an abundant number, since it is smaller than the sum of its proper divisors (73022888615040).

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

21453315287040 is a wasteful number, since it uses less digits than its factorization.

21453315287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 21453315287040 in words is "twenty-one trillion, four hundred fifty-three billion, three hundred fifteen million, two hundred eighty-seven thousand, forty".