11484185440 has 576 divisors, whose sum is σ = 36816062976. Its totient is φ = 3300950016.

The previous prime is 11484185431. The next prime is 11484185459. The reversal of 11484185440 is 4458148411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11484185393 and 11484185402.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 138363639 + ... + 138363721.

It is an arithmetic number, because the mean of its divisors is an integer number (63916776).

Almost surely, 2^11484185440 is an apocalyptic number.

11484185440 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 11484185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18408031488).

11484185440 is an abundant number, since it is smaller than the sum of its proper divisors (25331877536).

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

11484185440 is a wasteful number, since it uses less digits than its factorization.

11484185440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 11484185440 in words is "eleven billion, four hundred eighty-four million, one hundred eighty-five thousand, four hundred forty".