11832481440 has 288 divisors, whose sum is σ = 46043511696. Its totient is φ = 2741207040.

The previous prime is 11832481433. The next prime is 11832481459. The reversal of 11832481440 is 4418423811.

It is a happy number.

11832481440 is a `hidden beast` number, since 118 + 3 + 24 + 81 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3425058576 + 8407422864 = 58524^2 + 91692^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 11832481395 and 11832481404.

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 47 ways as a sum of consecutive naturals, for example, 299650 + ... + 336830.

Almost surely, 2^11832481440 is an apocalyptic number.

11832481440 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 11832481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021755848).

11832481440 is an abundant number, since it is smaller than the sum of its proper divisors (34211030256).

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

11832481440 is a wasteful number, since it uses less digits than its factorization.

11832481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37232 (or 37221 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11832481440 in words is "eleven billion, eight hundred thirty-two million, four hundred eighty-one thousand, four hundred forty".