1001770009344 has 216 divisors, whose sum is σ = 3141337482192. Its totient is φ = 305184153600.

The previous prime is 1001770009333. The next prime is 1001770009417. The reversal of 1001770009344 is 4439000771001.

It is a super-3 number, since 3×1001770009344³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001770009299 and 1001770009308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859579 + ... + 3190725.

Almost surely, 2^{1001770009344} 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 1001770009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570668741096).

1001770009344 is an abundant number, since it is smaller than the sum of its proper divisors (2139567472848).

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

1001770009344 is a wasteful number, since it uses less digits than its factorization.

1001770009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331283 (or 331266 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1001770009344 in words is "one trillion, one billion, seven hundred seventy million, nine thousand, three hundred forty-four".