11014442412400 has 120 divisors (see below), whose sum is σ = 32021483306400. Its totient is φ = 3554240225280.

The previous prime is 11014442412361. The next prime is 11014442412431. The reversal of 11014442412400 is 421424441011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115650325 + ... + 115745524.

It is an arithmetic number, because the mean of its divisors is an integer number (266845694220).

Almost surely, 2^{11014442412400} is an apocalyptic number.

11014442412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11014442412400 is an abundant number, since it is smaller than the sum of its proper divisors (21007040894000).

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

11014442412400 is a wasteful number, since it uses less digits than its factorization.

11014442412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231395891 (or 231395880 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 11014442412400 its reverse (421424441011), we get a palindrome (11435866853411).

The spelling of 11014442412400 in words is "eleven trillion, fourteen billion, four hundred forty-two million, four hundred twelve thousand, four hundred".