21160440000 has 840 divisors, whose sum is σ = 90115753728. Its totient is φ = 4821120000.

The previous prime is 21160439983. The next prime is 21160440001. The reversal of 21160440000 is 4406112.

21160440000 is a `hidden beast` number, since 21 + 1 + 604 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21160440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68039845 + ... + 68040155.

Almost surely, 2^21160440000 is an apocalyptic number.

21160440000 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 21160440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45057876864).

21160440000 is an abundant number, since it is smaller than the sum of its proper divisors (68955313728).

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

21160440000 is an frugal number, since it uses more digits than its factorization.

21160440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21160440000 its reverse (4406112), we get a palindrome (21164846112).

The spelling of 21160440000 in words is "twenty-one billion, one hundred sixty million, four hundred forty thousand".