1009470931200 has 648 divisors, whose sum is σ = 3698391933600. Its totient is φ = 262602915840.

The previous prime is 1009470931177. The next prime is 1009470931207. The reversal of 1009470931200 is 21390749001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1009470931207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472376532 + ... + 472378668.

Almost surely, 2^{1009470931200} is an apocalyptic number.

1009470931200 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 1009470931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849195966800).

1009470931200 is an abundant number, since it is smaller than the sum of its proper divisors (2688921002400).

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

1009470931200 is a wasteful number, since it uses less digits than its factorization.

1009470931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1009470931200 in words is "one trillion, nine billion, four hundred seventy million, nine hundred thirty-one thousand, two hundred".