21414544000 has 128 divisors (see below), whose sum is σ = 54248622480. Its totient is φ = 8403865600.

The previous prime is 21414543977. The next prime is 21414544031. The reversal of 21414544000 is 44541412.

It can be written as a sum of positive squares in 8 ways, for example, as 6426908224 + 14987635776 = 80168^2 + 122424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 835374 + ... + 860626.

Almost surely, 2^21414544000 is an apocalyptic number.

21414544000 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 21414544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27124311240).

21414544000 is an abundant number, since it is smaller than the sum of its proper divisors (32834078480).

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

21414544000 is an equidigital number, since it uses as much as digits as its factorization.

21414544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25335 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 21414544000 in words is "twenty-one billion, four hundred fourteen million, five hundred forty-four thousand".