21332144240400 has 240 divisors, whose sum is σ = 78657810022400. Its totient is φ = 4840839866880.

The previous prime is 21332144240377. The next prime is 21332144240401. The reversal of 21332144240400 is 404244123312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21332144240401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7967440 + ... + 10302639.

Almost surely, 2^{21332144240400} is an apocalyptic number.

21332144240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332144240400 is an abundant number, since it is smaller than the sum of its proper divisors (57325665782000).

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

21332144240400 is a wasteful number, since it uses less digits than its factorization.

21332144240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270246 (or 18270235 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 21332144240400 its reverse (404244123312), we get a palindrome (21736388363712).

The spelling of 21332144240400 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred forty-four million, two hundred forty thousand, four hundred".