11341240532400 has 240 divisors, whose sum is σ = 36434154672000. Its totient is φ = 3015650426880.

The previous prime is 11341240532291. The next prime is 11341240532533. The reversal of 11341240532400 is 423504214311.

11341240532400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962829711 + ... + 962841489.

It is an arithmetic number, because the mean of its divisors is an integer number (151808977800).

Almost surely, 2^{11341240532400} is an apocalyptic number.

11341240532400 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 11341240532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217077336000).

11341240532400 is an abundant number, since it is smaller than the sum of its proper divisors (25092914139600).

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

11341240532400 is a wasteful number, since it uses less digits than its factorization.

11341240532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14036 (or 14025 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11341240532400 its reverse (423504214311), we get a palindrome (11764744746711).

The spelling of 11341240532400 in words is "eleven trillion, three hundred forty-one billion, two hundred forty million, five hundred thirty-two thousand, four hundred".