1008365378720 has 144 divisors (see below), whose sum is σ = 2771744404968. Its totient is φ = 345657876480.

The previous prime is 1008365378663. The next prime is 1008365378729. The reversal of 1008365378720 is 278735638001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 494282114704 + 514083264016 = 703052^2 + 716996^2 .

It is a super-2 number, since 2×1008365378720² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1008365378729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56384180 + ... + 56402060.

Almost surely, 2^{1008365378720} is an apocalyptic number.

1008365378720 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 1008365378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385872202484).

1008365378720 is an abundant number, since it is smaller than the sum of its proper divisors (1763379026248).

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

1008365378720 is a wasteful number, since it uses less digits than its factorization.

1008365378720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25103 (or 25088 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 1008365378720 in words is "one trillion, eight billion, three hundred sixty-five million, three hundred seventy-eight thousand, seven hundred twenty".