11109461126400 has 1728 divisors, whose sum is σ = 50351568960000. Its totient is φ = 2334004346880.

The previous prime is 11109461126371. The next prime is 11109461126453. The reversal of 11109461126400 is 462116490111.

11109461126400 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 9 + 4 + 6 + 1 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×11109461126400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 4041272226 + ... + 4041274974.

Almost surely, 2^{11109461126400} is an apocalyptic number.

11109461126400 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 11109461126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25175784480000).

11109461126400 is an abundant number, since it is smaller than the sum of its proper divisors (39242107833600).

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

11109461126400 is a wasteful number, since it uses less digits than its factorization.

11109461126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11109461126400 in words is "eleven trillion, one hundred nine billion, four hundred sixty-one million, one hundred twenty-six thousand, four hundred".