21454352893440 has 1120 divisors, whose sum is σ = 79459429896000. Its totient is φ = 5549630423040.

The previous prime is 21454352893433. The next prime is 21454352893471. The reversal of 21454352893440 is 4439825345412.

21454352893440 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 43 + 528 + 9 + 34 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15226651456 + ... + 15226652864.

It is an arithmetic number, because the mean of its divisors is an integer number (70945919550).

Almost surely, 2^{21454352893440} is an apocalyptic number.

21454352893440 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 21454352893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39729714948000).

21454352893440 is an abundant number, since it is smaller than the sum of its proper divisors (58005077002560).

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

21454352893440 is an equidigital number, since it uses as much as digits as its factorization.

21454352893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 21454352893440 in words is "twenty-one trillion, four hundred fifty-four billion, three hundred fifty-two million, eight hundred ninety-three thousand, four hundred forty".