11180947415040 has 3024 divisors, whose sum is σ = 48244384738368. Its totient is φ = 2477713784832.

The previous prime is 11180947415003. The next prime is 11180947415069. The reversal of 11180947415040 is 4051474908111.

11180947415040 is a `hidden beast` number, since 1 + 1 + 18 + 0 + 94 + 7 + 41 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 486128148469 + ... + 486128148491.

It is an arithmetic number, because the mean of its divisors is an integer number (15953830932).

Almost surely, 2^{11180947415040} is an apocalyptic number.

11180947415040 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 11180947415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24122192369184).

11180947415040 is an abundant number, since it is smaller than the sum of its proper divisors (37063437323328).

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

11180947415040 is an equidigital number, since it uses as much as digits as its factorization.

11180947415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11180947415040 in words is "eleven trillion, one hundred eighty billion, nine hundred forty-seven million, four hundred fifteen thousand, forty".