10021432234240 has 144 divisors (see below), whose sum is σ = 27449100741888. Its totient is φ = 3433987104768.

The previous prime is 10021432234237. The next prime is 10021432234259. The reversal of 10021432234240 is 4243223412001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10021432234199 and 10021432234208.

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 15 ways as a sum of consecutive naturals, for example, 15662034 + ... + 16289326.

It is an arithmetic number, because the mean of its divisors is an integer number (190618755152).

Almost surely, 2^{10021432234240} is an apocalyptic number.

10021432234240 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 10021432234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724550370944).

10021432234240 is an abundant number, since it is smaller than the sum of its proper divisors (17427668507648).

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

10021432234240 is an equidigital number, since it uses as much as digits as its factorization.

10021432234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629104 (or 629090 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10021432234240 its reverse (4243223412001), we get a palindrome (14264655646241).

The spelling of 10021432234240 in words is "ten trillion, twenty-one billion, four hundred thirty-two million, two hundred thirty-four thousand, two hundred forty".