11000400344192 has 384 divisors, whose sum is σ = 27387637704000. Its totient is φ = 4374881280000.

The previous prime is 11000400344137. The next prime is 11000400344203. The reversal of 11000400344192 is 29144300400011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1824578234 + ... + 1824584262.

Almost surely, 2^{11000400344192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000400344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693818852000).

11000400344192 is an abundant number, since it is smaller than the sum of its proper divisors (16387237359808).

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

11000400344192 is a wasteful number, since it uses less digits than its factorization.

11000400344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 11000400344192 in words is "eleven trillion, four hundred million, three hundred forty-four thousand, one hundred ninety-two".