1181322455040 has 2688 divisors, whose sum is σ = 5486156282880. Its totient is φ = 237349896192.

The previous prime is 1181322455023. The next prime is 1181322455057. The reversal of 1181322455040 is 405542231811.

1181322455040 is a `hidden beast` number, since 1 + 1 + 81 + 3 + 2 + 24 + 550 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1181322455023) and next prime (1181322455057).

It is a tau number, because it is divible by the number of its divisors (2688).

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 = 1181322454986 and 1181322455004.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25134520297 + ... + 25134520343.

It is an arithmetic number, because the mean of its divisors is an integer number (2040980760).

Almost surely, 2^{1181322455040} is an apocalyptic number.

1181322455040 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 1181322455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743078141440).

1181322455040 is an abundant number, since it is smaller than the sum of its proper divisors (4304833827840).

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

1181322455040 is an equidigital number, since it uses as much as digits as its factorization.

1181322455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 1181322455040 its reverse (405542231811), we get a palindrome (1586864686851).

The spelling of 1181322455040 in words is "one trillion, one hundred eighty-one billion, three hundred twenty-two million, four hundred fifty-five thousand, forty".