24220224424440 has 384 divisors, whose sum is σ = 88211170307520. Its totient is φ = 5711673139200.

The previous prime is 24220224424399. The next prime is 24220224424469. The reversal of 24220224424440 is 4442442202242.

24220224424440 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 0 + 224 + 424 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×24220224424440³ (a number of 41 digits) contains 333 as substring.

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 = 24220224424395 and 24220224424404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828849030 + ... + 828878250.

Almost surely, 2^{24220224424440} is an apocalyptic number.

24220224424440 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 24220224424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44105585153760).

24220224424440 is an abundant number, since it is smaller than the sum of its proper divisors (63990945883080).

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

24220224424440 is a wasteful number, since it uses less digits than its factorization.

24220224424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34943 (or 34936 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 24220224424440 its reverse (4442442202242), we get a palindrome (28662666626682).

It can be divided in two parts, 242202 and 24424440, that added together give a palindrome (24666642).

The spelling of 24220224424440 in words is "twenty-four trillion, two hundred twenty billion, two hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".