21624223440240 has 120 divisors (see below), whose sum is σ = 72802451983248. Its totient is φ = 5752079308800.

The previous prime is 21624223440179. The next prime is 21624223440263. The reversal of 21624223440240 is 4204432242612.

It is a happy number.

21624223440240 is a `hidden beast` number, since 2 + 1 + 6 + 24 + 223 + 4 + 402 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21624223440195 and 21624223440204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37159714 + ... + 37737153.

Almost surely, 2^{21624223440240} is an apocalyptic number.

21624223440240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21624223440240 is an abundant number, since it is smaller than the sum of its proper divisors (51178228543008).

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

21624223440240 is a wasteful number, since it uses less digits than its factorization.

21624223440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74897287 (or 74897278 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 21624223440240 its reverse (4204432242612), we get a palindrome (25828655682852).

The spelling of 21624223440240 in words is "twenty-one trillion, six hundred twenty-four billion, two hundred twenty-three million, four hundred forty thousand, two hundred forty".