10430031424000 has 320 divisors, whose sum is σ = 26933347584000. Its totient is φ = 4023871488000.

The previous prime is 10430031423991. The next prime is 10430031424031. The reversal of 10430031424000 is 42413003401.

It is a tau number, because it is divible by the number of its divisors (320).

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, 2173373601 + ... + 2173378399.

It is an arithmetic number, because the mean of its divisors is an integer number (84166711200).

Almost surely, 2^{10430031424000} is an apocalyptic number.

10430031424000 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 10430031424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466673792000).

10430031424000 is an abundant number, since it is smaller than the sum of its proper divisors (16503316160000).

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

10430031424000 is an equidigital number, since it uses as much as digits as its factorization.

10430031424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10430031424000 its reverse (42413003401), we get a palindrome (10472444427401).

The spelling of 10430031424000 in words is "ten trillion, four hundred thirty billion, thirty-one million, four hundred twenty-four thousand".