11041142313400 has 144 divisors (see below), whose sum is σ = 26930869907760. Its totient is φ = 4209392140800.

The previous prime is 11041142313371. The next prime is 11041142313407. The reversal of 11041142313400 is 431324114011.

11041142313400 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041142313407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29544109 + ... + 29915491.

It is an arithmetic number, because the mean of its divisors is an integer number (187019929915).

Almost surely, 2^{11041142313400} is an apocalyptic number.

11041142313400 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 11041142313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465434953880).

11041142313400 is an abundant number, since it is smaller than the sum of its proper divisors (15889727594360).

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

11041142313400 is a wasteful number, since it uses less digits than its factorization.

11041142313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371726 (or 371694 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11041142313400 its reverse (431324114011), we get a palindrome (11472466427411).

The spelling of 11041142313400 in words is "eleven trillion, forty-one billion, one hundred forty-two million, three hundred thirteen thousand, four hundred".