11440427644800 has 3456 divisors, whose sum is σ = 55919833401600. Its totient is φ = 2271532032000.

The previous prime is 11440427644787. The next prime is 11440427644813. The reversal of 11440427644800 is 844672404411.

11440427644800 is a `hidden beast` number, since 1 + 144 + 0 + 4 + 27 + 6 + 4 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11440427644787) and next prime (11440427644813).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11782108315 + ... + 11782109285.

It is an arithmetic number, because the mean of its divisors is an integer number (16180507350).

Almost surely, 2^{11440427644800} is an apocalyptic number.

11440427644800 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 11440427644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27959916700800).

11440427644800 is an abundant number, since it is smaller than the sum of its proper divisors (44479405756800).

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

11440427644800 is a wasteful number, since it uses less digits than its factorization.

11440427644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 11440427644800 in words is "eleven trillion, four hundred forty billion, four hundred twenty-seven million, six hundred forty-four thousand, eight hundred".