10026446430000 has 1600 divisors, whose sum is σ = 44201770905600. Its totient is φ = 1890224640000.

The previous prime is 10026446429977. The next prime is 10026446430019. The reversal of 10026446430000 is 3464462001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10026446430000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1771767171 + ... + 1771772829.

It is an arithmetic number, because the mean of its divisors is an integer number (27626106816).

Almost surely, 2^{10026446430000} is an apocalyptic number.

10026446430000 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 10026446430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100885452800).

10026446430000 is an abundant number, since it is smaller than the sum of its proper divisors (34175324475600).

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

10026446430000 is a wasteful number, since it uses less digits than its factorization.

10026446430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 10026446430000 in words is "ten trillion, twenty-six billion, four hundred forty-six million, four hundred thirty thousand".