1009708112424 has 192 divisors, whose sum is σ = 2812283893440. Its totient is φ = 301840000000.

The previous prime is 1009708112407. The next prime is 1009708112429. The reversal of 1009708112424 is 4242118079001.

It is not an unprimeable number, because it can be changed into a prime (1009708112429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82412299 + ... + 82424549.

It is an arithmetic number, because the mean of its divisors is an integer number (14647311945).

Almost surely, 2^{1009708112424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009708112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406141946720).

1009708112424 is an abundant number, since it is smaller than the sum of its proper divisors (1802575781016).

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

1009708112424 is a wasteful number, since it uses less digits than its factorization.

1009708112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 1009708112424 in words is "one trillion, nine billion, seven hundred eight million, one hundred twelve thousand, four hundred twenty-four".