1009394944800 has 576 divisors, whose sum is σ = 3642066892800. Its totient is φ = 240778137600.

The previous prime is 1009394944793. The next prime is 1009394944861. The reversal of 1009394944800 is 84494939001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 790441762 + ... + 790443038.

It is an arithmetic number, because the mean of its divisors is an integer number (6323032800).

Almost surely, 2^{1009394944800} is an apocalyptic number.

1009394944800 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 1009394944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821033446400).

1009394944800 is an abundant number, since it is smaller than the sum of its proper divisors (2632671948000).

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

1009394944800 is a wasteful number, since it uses less digits than its factorization.

1009394944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 1009394944800 in words is "one trillion, nine billion, three hundred ninety-four million, nine hundred forty-four thousand, eight hundred".