21488044681440 has 480 divisors, whose sum is σ = 81426752535744. Its totient is φ = 5317115166720.

The previous prime is 21488044681409. The next prime is 21488044681459. The reversal of 21488044681440 is 4418644088412.

21488044681440 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 80 + 4 + 46 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 14955882 + ... + 16329558.

Almost surely, 2^{21488044681440} is an apocalyptic number.

21488044681440 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 21488044681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40713376267872).

21488044681440 is an abundant number, since it is smaller than the sum of its proper divisors (59938707854304).

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

21488044681440 is a wasteful number, since it uses less digits than its factorization.

21488044681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373792 (or 1373775 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 21488044681440 in words is "twenty-one trillion, four hundred eighty-eight billion, forty-four million, six hundred eighty-one thousand, four hundred forty".