11330014124400 has 120 divisors (see below), whose sum is σ = 36294840039600. Its totient is φ = 3021251512320.

The previous prime is 11330014124389. The next prime is 11330014124431. The reversal of 11330014124400 is 442141003311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 50105994 + ... + 50331606.

It is an arithmetic number, because the mean of its divisors is an integer number (302457000330).

Almost surely, 2^{11330014124400} is an apocalyptic number.

11330014124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330014124400 is an abundant number, since it is smaller than the sum of its proper divisors (24964825915200).

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

11330014124400 is a wasteful number, since it uses less digits than its factorization.

11330014124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267483 (or 267472 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11330014124400 its reverse (442141003311), we get a palindrome (11772155127711).

The spelling of 11330014124400 in words is "eleven trillion, three hundred thirty billion, fourteen million, one hundred twenty-four thousand, four hundred".