21741229440 has 768 divisors, whose sum is σ = 90963518400. Its totient is φ = 4953747456.

The previous prime is 21741229423. The next prime is 21741229463. The reversal of 21741229440 is 4492214712.

It is a happy number.

21741229440 is a `hidden beast` number, since 21 + 74 + 122 + 9 + 440 = 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 = 21741229395 and 21741229404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68584162 + ... + 68584478.

Almost surely, 2^21741229440 is an apocalyptic number.

21741229440 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 21741229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45481759200).

21741229440 is an abundant number, since it is smaller than the sum of its proper divisors (69222288960).

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

21741229440 is an frugal number, since it uses more digits than its factorization.

21741229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21741229440 in words is "twenty-one billion, seven hundred forty-one million, two hundred twenty-nine thousand, four hundred forty".