10143530042240 has 256 divisors, whose sum is σ = 27960389360640. Its totient is φ = 3446876160000.

The previous prime is 10143530042207. The next prime is 10143530042267. The reversal of 10143530042240 is 4224003534101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482991740 + ... + 483012740.

It is an arithmetic number, because the mean of its divisors is an integer number (109220270940).

Almost surely, 2^{10143530042240} is an apocalyptic number.

10143530042240 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 10143530042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980194680320).

10143530042240 is an abundant number, since it is smaller than the sum of its proper divisors (17816859318400).

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

10143530042240 is a wasteful number, since it uses less digits than its factorization.

10143530042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21981 (or 21969 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 10143530042240 its reverse (4224003534101), we get a palindrome (14367533576341).

The spelling of 10143530042240 in words is "ten trillion, one hundred forty-three billion, five hundred thirty million, forty-two thousand, two hundred forty".