20444213440 has 224 divisors, whose sum is σ = 56969460864. Its totient is φ = 6843432960.

The previous prime is 20444213437. The next prime is 20444213483. The reversal of 20444213440 is 4431244402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20444213399 and 20444213408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21452004 + ... + 21452956.

Almost surely, 2^20444213440 is an apocalyptic number.

20444213440 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 20444213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484730432).

20444213440 is an abundant number, since it is smaller than the sum of its proper divisors (36525247424).

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

20444213440 is a wasteful number, since it uses less digits than its factorization.

20444213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20444213440 its reverse (4431244402), we get a palindrome (24875457842).

The spelling of 20444213440 in words is "twenty billion, four hundred forty-four million, two hundred thirteen thousand, four hundred forty".