1041731998560 has 864 divisors, whose sum is σ = 4033261814400. Its totient is φ = 244482416640.

The previous prime is 1041731998543. The next prime is 1041731998579. The reversal of 1041731998560 is 658991371401.

1041731998560 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 73 + 1 + 9 + 9 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1041731998497 and 1041731998506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2249960889 + ... + 2249961351.

It is an arithmetic number, because the mean of its divisors is an integer number (4668127100).

Almost surely, 2^{1041731998560} is an apocalyptic number.

1041731998560 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 1041731998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016630907200).

1041731998560 is an abundant number, since it is smaller than the sum of its proper divisors (2991529815840).

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

1041731998560 is a wasteful number, since it uses less digits than its factorization.

1041731998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1041731998560 in words is "one trillion, forty-one billion, seven hundred thirty-one million, nine hundred ninety-eight thousand, five hundred sixty".