1009385921124 has 243 divisors, whose sum is σ = 3135001642227. Its totient is φ = 273000230496.

The previous prime is 1009385921119. The next prime is 1009385921171. The reversal of 1009385921124 is 4211295839001.

The square root of 1009385921124 is 1004682.

It is a perfect power (a square), and thus also a powerful number.

1009385921124 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 38 + 592 + 1 + 1 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1009385921124.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 801735607 + ... + 801736865.

Almost surely, 2^{1009385921124} is an apocalyptic number.

1009385921124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1009385921124 is the 1004682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009385921124

1009385921124 is an abundant number, since it is smaller than the sum of its proper divisors (2125615721103).

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

1009385921124 is a wasteful number, since it uses less digits than its factorization.

1009385921124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1009385921124 in words is "one trillion, nine billion, three hundred eighty-five million, nine hundred twenty-one thousand, one hundred twenty-four".