11131142403400 has 96 divisors (see below), whose sum is σ = 26168196646080. Its totient is φ = 4403127456000.

The previous prime is 11131142403377. The next prime is 11131142403431. The reversal of 11131142403400 is 430424113111.

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

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, 5785365 + ... + 7465435.

It is an arithmetic number, because the mean of its divisors is an integer number (272585381730).

Almost surely, 2^{11131142403400} is an apocalyptic number.

11131142403400 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 11131142403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084098323040).

11131142403400 is an abundant number, since it is smaller than the sum of its proper divisors (15037054242680).

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

11131142403400 is a wasteful number, since it uses less digits than its factorization.

11131142403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680455 (or 1680446 counting only the distinct ones).

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

Adding to 11131142403400 its reverse (430424113111), we get a palindrome (11561566516511).

The spelling of 11131142403400 in words is "eleven trillion, one hundred thirty-one billion, one hundred forty-two million, four hundred three thousand, four hundred".