10321400309424 has 160 divisors (see below), whose sum is σ = 28801162607616. Its totient is φ = 3173359902720.

The previous prime is 10321400309419. The next prime is 10321400309453. The reversal of 10321400309424 is 42490300412301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9141924 + ... + 10208700.

Almost surely, 2^{10321400309424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321400309424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400581303808).

10321400309424 is an abundant number, since it is smaller than the sum of its proper divisors (18479762298192).

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

10321400309424 is a wasteful number, since it uses less digits than its factorization.

10321400309424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067043 (or 1067037 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10321400309424 in words is "ten trillion, three hundred twenty-one billion, four hundred million, three hundred nine thousand, four hundred twenty-four".