11241311331400 has 48 divisors (see below), whose sum is σ = 26629181867700. Its totient is φ = 4411684442880.

The previous prime is 11241311331361. The next prime is 11241311331407. The reversal of 11241311331400 is 413311314211.

It can be written as a sum of positive squares in 6 ways, for example, as 9269235989764 + 1972075341636 = 3044542^2 + 1404306^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11241311331407) 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 11 ways as a sum of consecutive naturals, for example, 530239935 + ... + 530261134.

Almost surely, 2^{11241311331400} is an apocalyptic number.

11241311331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241311331400 is an abundant number, since it is smaller than the sum of its proper divisors (15387870536300).

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

11241311331400 is a wasteful number, since it uses less digits than its factorization.

11241311331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060501138 (or 1060501129 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 11241311331400 its reverse (413311314211), we get a palindrome (11654622645611).

The spelling of 11241311331400 in words is "eleven trillion, two hundred forty-one billion, three hundred eleven million, three hundred thirty-one thousand, four hundred".