1003166115840 has 2304 divisors, whose sum is σ = 4543574031360. Its totient is φ = 199313326080.

The previous prime is 1003166115829. The next prime is 1003166115869. The reversal of 1003166115840 is 485116613001.

It is a happy number.

1003166115840 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 66 + 11 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 1003166115795 and 1003166115804.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10341918672 + ... + 10341918768.

It is an arithmetic number, because the mean of its divisors is an integer number (1972037340).

Almost surely, 2^{1003166115840} is an apocalyptic number.

1003166115840 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 1003166115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271787015680).

1003166115840 is an abundant number, since it is smaller than the sum of its proper divisors (3540407915520).

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

1003166115840 is a wasteful number, since it uses less digits than its factorization.

1003166115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1003166115840 in words is "one trillion, three billion, one hundred sixty-six million, one hundred fifteen thousand, eight hundred forty".