11241344040400 has 120 divisors (see below), whose sum is σ = 27882485121024. Its totient is φ = 4352102668800.

The previous prime is 11241344040347. The next prime is 11241344040463. The reversal of 11241344040400 is 404044314211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838449 + ... + 4815151.

Almost surely, 2^{11241344040400} is an apocalyptic number.

11241344040400 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 11241344040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941242560512).

11241344040400 is an abundant number, since it is smaller than the sum of its proper divisors (16641141080624).

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

11241344040400 is a wasteful number, since it uses less digits than its factorization.

11241344040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976949 (or 3976938 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11241344040400 its reverse (404044314211), we get a palindrome (11645388354611).

The spelling of 11241344040400 in words is "eleven trillion, two hundred forty-one billion, three hundred forty-four million, forty thousand, four hundred".