11446031132040 has 256 divisors, whose sum is σ = 37856122675200. Its totient is φ = 2755696204800.

The previous prime is 11446031132023. The next prime is 11446031132047. The reversal of 11446031132040 is 4023113064411.

11446031132040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11446031131989 and 11446031132007.

It is not an unprimeable number, because it can be changed into a prime (11446031132047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13808530 + ... + 14613950.

It is an arithmetic number, because the mean of its divisors is an integer number (147875479200).

Almost surely, 2^{11446031132040} is an apocalyptic number.

11446031132040 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 11446031132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928061337600).

11446031132040 is an abundant number, since it is smaller than the sum of its proper divisors (26410091543160).

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

11446031132040 is a wasteful number, since it uses less digits than its factorization.

11446031132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805748 (or 805744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11446031132040 its reverse (4023113064411), we get a palindrome (15469144196451).

The spelling of 11446031132040 in words is "eleven trillion, four hundred forty-six billion, thirty-one million, one hundred thirty-two thousand, forty".