21741449408 has 112 divisors (see below), whose sum is σ = 51204571200. Its totient is φ = 8961576960.

The previous prime is 21741449393. The next prime is 21741449419. The reversal of 21741449408 is 80494414712.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3491738 + ... + 3497958.

Almost surely, 2^21741449408 is an apocalyptic number.

21741449408 is a gapful number since it is divisible by the number (28) 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 21741449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25602285600).

21741449408 is an abundant number, since it is smaller than the sum of its proper divisors (29463121792).

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

21741449408 is a wasteful number, since it uses less digits than its factorization.

21741449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 21741449408 in words is "twenty-one billion, seven hundred forty-one million, four hundred forty-nine thousand, four hundred eight".