21424518144 has 220 divisors, whose sum is σ = 65476553824. Its totient is φ = 6974263296.

The previous prime is 21424518139. The next prime is 21424518169. The reversal of 21424518144 is 44181542412.

21424518144 is a `hidden beast` number, since 21 + 42 + 451 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21424518099 and 21424518108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3563589 + ... + 3569595.

Almost surely, 2^21424518144 is an apocalyptic number.

21424518144 is a gapful number since it is divisible by the number (24) 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 21424518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32738276912).

21424518144 is an abundant number, since it is smaller than the sum of its proper divisors (44052035680).

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

21424518144 is an equidigital number, since it uses as much as digits as its factorization.

21424518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6055 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The spelling of 21424518144 in words is "twenty-one billion, four hundred twenty-four million, five hundred eighteen thousand, one hundred forty-four".