1031441017968 has 200 divisors, whose sum is σ = 3037621316400. Its totient is φ = 337793366016.

The previous prime is 1031441017961. The next prime is 1031441017987. The reversal of 1031441017968 is 8697101441301.

1031441017968 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 410 + 179 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031441017961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205915048 + ... + 205920056.

It is an arithmetic number, because the mean of its divisors is an integer number (15188106582).

Almost surely, 2^{1031441017968} is an apocalyptic number.

1031441017968 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 1031441017968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518810658200).

1031441017968 is an abundant number, since it is smaller than the sum of its proper divisors (2006180298432).

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

1031441017968 is a wasteful number, since it uses less digits than its factorization.

1031441017968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1031441017968 in words is "one trillion, thirty-one billion, four hundred forty-one million, seventeen thousand, nine hundred sixty-eight".