10431143221440 has 224 divisors, whose sum is σ = 34020984983040. Its totient is φ = 2706374393856.

The previous prime is 10431143221357. The next prime is 10431143221501. The reversal of 10431143221440 is 4412234113401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10431143221398 and 10431143221407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10117341 + ... + 11100579.

Almost surely, 2^{10431143221440} is an apocalyptic number.

10431143221440 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 10431143221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010492491520).

10431143221440 is an abundant number, since it is smaller than the sum of its proper divisors (23589841761600).

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

10431143221440 is a wasteful number, since it uses less digits than its factorization.

10431143221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983559 (or 983549 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10431143221440 its reverse (4412234113401), we get a palindrome (14843377334841).

The spelling of 10431143221440 in words is "ten trillion, four hundred thirty-one billion, one hundred forty-three million, two hundred twenty-one thousand, four hundred forty".