1081312727040 has 3120 divisors, whose sum is σ = 5223551414400. Its totient is φ = 208684449792.

The previous prime is 1081312727029. The next prime is 1081312727123. The reversal of 1081312727040 is 407272131801.

It is a tau number, because it is divible by the number of its divisors (3120).

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 = 1081312726986 and 1081312727004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37286645746 + ... + 37286645774.

Almost surely, 2^{1081312727040} is an apocalyptic number.

1081312727040 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 1081312727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611775707200).

1081312727040 is an abundant number, since it is smaller than the sum of its proper divisors (4142238687360).

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

1081312727040 is a wasteful number, since it uses less digits than its factorization.

1081312727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 1081312727040 its reverse (407272131801), we get a palindrome (1488584858841).

The spelling of 1081312727040 in words is "one trillion, eighty-one billion, three hundred twelve million, seven hundred twenty-seven thousand, forty".