11398666110400 has 168 divisors, whose sum is σ = 29924425379376. Its totient is φ = 4258503475200.

The previous prime is 11398666110371. The next prime is 11398666110421. The reversal of 11398666110400 is 401166689311.

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 23 ways as a sum of consecutive naturals, for example, 1963702 + ... + 5162698.

Almost surely, 2^{11398666110400} is an apocalyptic number.

11398666110400 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 11398666110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962212689688).

11398666110400 is an abundant number, since it is smaller than the sum of its proper divisors (18525759268976).

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

11398666110400 is a wasteful number, since it uses less digits than its factorization.

11398666110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199167 (or 3199152 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 11398666110400 in words is "eleven trillion, three hundred ninety-eight billion, six hundred sixty-six million, one hundred ten thousand, four hundred".