1002446326000 has 160 divisors (see below), whose sum is σ = 2805257594880. Its totient is φ = 339344928000.

The previous prime is 1002446325983. The next prime is 1002446326009. The reversal of 1002446326000 is 6236442001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1002446326000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002446326009) by changing a digit.

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, 652815 + ... + 1559185.

It is an arithmetic number, because the mean of its divisors is an integer number (17532859968).

Almost surely, 2^{1002446326000} is an apocalyptic number.

1002446326000 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 1002446326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402628797440).

1002446326000 is an abundant number, since it is smaller than the sum of its proper divisors (1802811268880).

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

1002446326000 is an equidigital number, since it uses as much as digits as its factorization.

1002446326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906480 (or 906464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 1002446326000 in words is "one trillion, two billion, four hundred forty-six million, three hundred twenty-six thousand".