1009840636896 has 576 divisors, whose sum is σ = 3399804334080. Its totient is φ = 256714997760.

The previous prime is 1009840636841. The next prime is 1009840636901. The reversal of 1009840636896 is 6986360489001.

1009840636896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1009840636896² (a number of 25 digits) contains 22 as substring.

It is a congruent 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, 1313186400 + ... + 1313187168.

It is an arithmetic number, because the mean of its divisors is an integer number (5902438080).

Almost surely, 2^{1009840636896} is an apocalyptic number.

1009840636896 is a gapful number since it is divisible by the number (16) 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 1009840636896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699902167040).

1009840636896 is an abundant number, since it is smaller than the sum of its proper divisors (2389963697184).

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

1009840636896 is a wasteful number, since it uses less digits than its factorization.

1009840636896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 1009840636896 in words is "one trillion, nine billion, eight hundred forty million, six hundred thirty-six thousand, eight hundred ninety-six".