11341310400 has 504 divisors, whose sum is σ = 46873607040. Its totient is φ = 2547025920.

The previous prime is 11341310399. The next prime is 11341310429. The reversal of 11341310400 is 401314311.

11341310400 is a `hidden beast` number, since 1 + 134 + 131 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5946247 + ... + 5948153.

Almost surely, 2^11341310400 is an apocalyptic number.

11341310400 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 11341310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436803520).

11341310400 is an abundant number, since it is smaller than the sum of its proper divisors (35532296640).

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

11341310400 is a wasteful number, since it uses less digits than its factorization.

11341310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11341310400 its reverse (401314311), we get a palindrome (11742624711).

The spelling of 11341310400 in words is "eleven billion, three hundred forty-one million, three hundred ten thousand, four hundred".