11426054400000 has 2016 divisors, whose sum is σ = 44755485465600. Its totient is φ = 2911334400000.

The previous prime is 11426054399989. The next prime is 11426054400011. The reversal of 11426054400000 is 445062411.

11426054400000 is a `hidden beast` number, since 1 + 14 + 2 + 605 + 4 + 40 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11426054399989) and next prime (11426054400011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 144633599961 + ... + 144633600039.

It is an arithmetic number, because the mean of its divisors is an integer number (22200141600).

Almost surely, 2^{11426054400000} is an apocalyptic number.

11426054400000 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 11426054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377742732800).

11426054400000 is an abundant number, since it is smaller than the sum of its proper divisors (33329431065600).

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

11426054400000 is an frugal number, since it uses more digits than its factorization.

11426054400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11426054400000 its reverse (445062411), we get a palindrome (11426499462411).

The spelling of 11426054400000 in words is "eleven trillion, four hundred twenty-six billion, fifty-four million, four hundred thousand".