11263440261024 has 2304 divisors, whose sum is σ = 43292774246400. Its totient is φ = 2827105763328.

The previous prime is 11263440260999. The next prime is 11263440261049. The reversal of 11263440261024 is 42016204436211.

11263440261024 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 34 + 4 + 0 + 2 + 610 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11263440260999) and next prime (11263440261049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11263440261024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105265796779 + ... + 105265796885.

It is an arithmetic number, because the mean of its divisors is an integer number (18790266600).

Almost surely, 2^{11263440261024} is an apocalyptic number.

11263440261024 is a gapful number since it is divisible by the number (14) 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 11263440261024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21646387123200).

11263440261024 is an abundant number, since it is smaller than the sum of its proper divisors (32029333985376).

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

11263440261024 is a wasteful number, since it uses less digits than its factorization.

11263440261024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

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

Adding to 11263440261024 its reverse (42016204436211), we get a palindrome (53279644697235).

The spelling of 11263440261024 in words is "eleven trillion, two hundred sixty-three billion, four hundred forty million, two hundred sixty-one thousand, twenty-four".