11244718460400 has 60 divisors (see below), whose sum is σ = 36020581471992. Its totient is φ = 2998591589120.

The previous prime is 11244718460399. The next prime is 11244718460407. The reversal of 11244718460400 is 406481744211.

11244718460400 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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244718460407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4685298159 + ... + 4685300558.

Almost surely, 2^{11244718460400} is an apocalyptic number.

11244718460400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11244718460400 is an abundant number, since it is smaller than the sum of its proper divisors (24775863011592).

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

11244718460400 is a wasteful number, since it uses less digits than its factorization.

11244718460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370598738 (or 9370598727 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 11244718460400 in words is "eleven trillion, two hundred forty-four billion, seven hundred eighteen million, four hundred sixty thousand, four hundred".