1009194120 has 512 divisors, whose sum is σ = 4105728000. Its totient is φ = 217313280.

The previous prime is 1009194097. The next prime is 1009194157. The reversal of 1009194120 is 214919001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3837109 + ... + 3837371.

It is an arithmetic number, because the mean of its divisors is an integer number (8019000).

Almost surely, 2^1009194120 is an apocalyptic number.

1009194120 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 1009194120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052864000).

1009194120 is an abundant number, since it is smaller than the sum of its proper divisors (3096533880).

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

1009194120 is a wasteful number, since it uses less digits than its factorization.

1009194120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1009194120 is about 31767.8157889396. The cubic root of 1009194120 is about 1003.0553619227.

The spelling of 1009194120 in words is "one billion, nine million, one hundred ninety-four thousand, one hundred twenty".