1081344245760 has 840 divisors, whose sum is σ = 4100024612880. Its totient is φ = 272895049728.

The previous prime is 1081344245713. The next prime is 1081344245783. The reversal of 1081344245760 is 675424431801.

1081344245760 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 34 + 42 + 4 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1134673444 + ... + 1134674396.

It is an arithmetic number, because the mean of its divisors is an integer number (4880981682).

Almost surely, 2^{1081344245760} is an apocalyptic number.

1081344245760 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 1081344245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050012306440).

1081344245760 is an abundant number, since it is smaller than the sum of its proper divisors (3018680367120).

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

1081344245760 is an frugal number, since it uses more digits than its factorization.

1081344245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 1081344 and 245760, that added together give a square (1327104 = 1152²).

The spelling of 1081344245760 in words is "one trillion, eighty-one billion, three hundred forty-four million, two hundred forty-five thousand, seven hundred sixty".