1016441975808 has 660 divisors, whose sum is σ = 3545069724900. Its totient is φ = 289244971008.

The previous prime is 1016441975779. The next prime is 1016441975827. The reversal of 1016441975808 is 8085791446101.

1016441975808 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 44 + 19 + 7 + 580 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 323205894144 + 693236081664 = 568512^2 + 832608^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1824850666 + ... + 1824851222.

It is an arithmetic number, because the mean of its divisors is an integer number (5371317765).

Almost surely, 2^{1016441975808} is an apocalyptic number.

1016441975808 is a gapful number since it is divisible by the number (18) 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 1016441975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772534862450).

1016441975808 is an abundant number, since it is smaller than the sum of its proper divisors (2528627749092).

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

1016441975808 is an equidigital number, since it uses as much as digits as its factorization.

1016441975808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1016441975808 in words is "one trillion, sixteen billion, four hundred forty-one million, nine hundred seventy-five thousand, eight hundred eight".