10321142301440 has 144 divisors (see below), whose sum is σ = 25706146556160. Its totient is φ = 3966116167680.

The previous prime is 10321142301377. The next prime is 10321142301479. The reversal of 10321142301440 is 4410324112301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4486856 + ... + 6385464.

It is an arithmetic number, because the mean of its divisors is an integer number (178514906640).

Almost surely, 2^{10321142301440} is an apocalyptic number.

10321142301440 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 10321142301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12853073278080).

10321142301440 is an abundant number, since it is smaller than the sum of its proper divisors (15385004254720).

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

10321142301440 is a wasteful number, since it uses less digits than its factorization.

10321142301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898798 (or 1898784 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10321142301440 its reverse (4410324112301), we get a palindrome (14731466413741).

The spelling of 10321142301440 in words is "ten trillion, three hundred twenty-one billion, one hundred forty-two million, three hundred one thousand, four hundred forty".