21624121247040 has 2352 divisors, whose sum is σ = 86912831934720. Its totient is φ = 5116961341440.

The previous prime is 21624121246991. The next prime is 21624121247147. The reversal of 21624121247040 is 4074212142612.

21624121247040 is a `hidden beast` number, since 2 + 1 + 6 + 24 + 121 + 2 + 470 + 40 = 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 = 21624121246986 and 21624121247004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 165069627775 + ... + 165069627905.

Almost surely, 2^{21624121247040} is an apocalyptic number.

21624121247040 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 21624121247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43456415967360).

21624121247040 is an abundant number, since it is smaller than the sum of its proper divisors (65288710687680).

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

21624121247040 is a wasteful number, since it uses less digits than its factorization.

21624121247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 21624121247040 its reverse (4074212142612), we get a palindrome (25698333389652).

The spelling of 21624121247040 in words is "twenty-one trillion, six hundred twenty-four billion, one hundred twenty-one million, two hundred forty-seven thousand, forty".