1080133367040 has 1728 divisors, whose sum is σ = 4927790579712. Its totient is φ = 220365619200.

The previous prime is 1080133366993. The next prime is 1080133367041. The reversal of 1080133367040 is 407633310801.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 1080133366986 and 1080133367004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080133367041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 877443225 + ... + 877444455.

Almost surely, 2^{1080133367040} is an apocalyptic number.

1080133367040 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 1080133367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463895289856).

1080133367040 is an abundant number, since it is smaller than the sum of its proper divisors (3847657212672).

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

1080133367040 is a wasteful number, since it uses less digits than its factorization.

1080133367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 1080133367040 its reverse (407633310801), we get a palindrome (1487766677841).

The spelling of 1080133367040 in words is "one trillion, eighty billion, one hundred thirty-three million, three hundred sixty-seven thousand, forty".