1006442446000 has 80 divisors (see below), whose sum is σ = 2437903080288. Its totient is φ = 401861472000.

The previous prime is 1006442445973. The next prime is 1006442446003. The reversal of 1006442446000 is 6442446001.

1006442446000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1006442446000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006442446003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679090 + ... + 1572910.

Almost surely, 2^{1006442446000} is an apocalyptic number.

1006442446000 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 1006442446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218951540144).

1006442446000 is an abundant number, since it is smaller than the sum of its proper divisors (1431460634288).

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

1006442446000 is an equidigital number, since it uses as much as digits as its factorization.

1006442446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894407 (or 894391 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Subtracting from 1006442446000 its reverse (6442446001), we obtain a palindrome (999999999999).

The spelling of 1006442446000 in words is "one trillion, six billion, four hundred forty-two million, four hundred forty-six thousand".