11455331040 has 384 divisors, whose sum is σ = 42749683200. Its totient is φ = 2892298752.

The previous prime is 11455331029. The next prime is 11455331053. The reversal of 11455331040 is 4013355411.

It is a happy number.

11455331040 is a `hidden beast` number, since 1 + 1 + 4 + 553 + 3 + 104 + 0 = 666.

11455331040 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 11455330995 and 11455331013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6647619 + ... + 6649341.

It is an arithmetic number, because the mean of its divisors is an integer number (111327300).

Almost surely, 2^11455331040 is an apocalyptic number.

11455331040 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 11455331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374841600).

11455331040 is an abundant number, since it is smaller than the sum of its proper divisors (31294352160).

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

11455331040 is an equidigital number, since it uses as much as digits as its factorization.

11455331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11455331040 its reverse (4013355411), we get a palindrome (15468686451).

The spelling of 11455331040 in words is "eleven billion, four hundred fifty-five million, three hundred thirty-one thousand, forty".