11300342342400 has 324 divisors, whose sum is σ = 40434400886880. Its totient is φ = 3010953830400.

The previous prime is 11300342342383. The next prime is 11300342342441. The reversal of 11300342342400 is 424324300311.

11300342342400 is a `hidden beast` number, since 11 + 300 + 3 + 4 + 2 + 342 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70710585 + ... + 70870215.

Almost surely, 2^{11300342342400} is an apocalyptic number.

11300342342400 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 11300342342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217200443440).

11300342342400 is an abundant number, since it is smaller than the sum of its proper divisors (29134058544480).

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

11300342342400 is a wasteful number, since it uses less digits than its factorization.

11300342342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160892 (or 160870 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11300342342400 its reverse (424324300311), we get a palindrome (11724666642711).

The spelling of 11300342342400 in words is "eleven trillion, three hundred billion, three hundred forty-two million, three hundred forty-two thousand, four hundred".