11632202038440 has 512 divisors, whose sum is σ = 40009806144000. Its totient is φ = 3004248268800.

The previous prime is 11632202038433. The next prime is 11632202038447. The reversal of 11632202038440 is 4483020223611.

11632202038440 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 2 + 0 + 203 + 8 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (11632202038433) and next prime (11632202038447).

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 = 11632202038395 and 11632202038404.

It is not an unprimeable number, because it can be changed into a prime (11632202038447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3656773650 + ... + 3656776830.

It is an arithmetic number, because the mean of its divisors is an integer number (78144152625).

Almost surely, 2^{11632202038440} is an apocalyptic number.

11632202038440 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 11632202038440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004903072000).

11632202038440 is an abundant number, since it is smaller than the sum of its proper divisors (28377604105560).

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

11632202038440 is a wasteful number, since it uses less digits than its factorization.

11632202038440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 11632202038440 in words is "eleven trillion, six hundred thirty-two billion, two hundred two million, thirty-eight thousand, four hundred forty".