10232414224040 has 128 divisors (see below), whose sum is σ = 23706391824000. Its totient is φ = 3973504401408.

The previous prime is 10232414224031. The next prime is 10232414224049. The reversal of 10232414224040 is 4042241423201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10232414224031) and next prime (10232414224049).

It is a super-2 number, since 2×10232414224040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10232414223994 and 10232414224012.

It is not an unprimeable number, because it can be changed into a prime (10232414224049) 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 31 ways as a sum of consecutive naturals, for example, 62318771 + ... + 62482749.

It is an arithmetic number, because the mean of its divisors is an integer number (185206186125).

Almost surely, 2^{10232414224040} is an apocalyptic number.

10232414224040 is a gapful number since it is divisible by the number (10) 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 10232414224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853195912000).

10232414224040 is an abundant number, since it is smaller than the sum of its proper divisors (13473977599960).

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

10232414224040 is a wasteful number, since it uses less digits than its factorization.

10232414224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164379 (or 164375 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 10232414224040 its reverse (4042241423201), we get a palindrome (14274655647241).

The spelling of 10232414224040 in words is "ten trillion, two hundred thirty-two billion, four hundred fourteen million, two hundred twenty-four thousand, forty".