22024424432140 has 288 divisors, whose sum is σ = 50948472766464. Its totient is φ = 7993117117440.

The previous prime is 22024424432119. The next prime is 22024424432147. The reversal of 22024424432140 is 4123442442022.

It is a super-2 number, since 2×22024424432140² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22024424432096 and 22024424432105.

It is not an unprimeable number, because it can be changed into a prime (22024424432147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36284059717 + ... + 36284060323.

It is an arithmetic number, because the mean of its divisors is an integer number (176904419328).

Almost surely, 2^{22024424432140} is an apocalyptic number.

22024424432140 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 22024424432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474236383232).

22024424432140 is an abundant number, since it is smaller than the sum of its proper divisors (28924048334324).

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

22024424432140 is a wasteful number, since it uses less digits than its factorization.

22024424432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 22024424432140 its reverse (4123442442022), we get a palindrome (26147866874162).

The spelling of 22024424432140 in words is "twenty-two trillion, twenty-four billion, four hundred twenty-four million, four hundred thirty-two thousand, one hundred forty".