11826940419400 has 96 divisors (see below), whose sum is σ = 28094990912640. Its totient is φ = 4628093679360.

The previous prime is 11826940419383. The next prime is 11826940419451. The reversal of 11826940419400 is 491404962811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21279847 + ... + 21828553.

It is an arithmetic number, because the mean of its divisors is an integer number (292656155340).

Almost surely, 2^{11826940419400} is an apocalyptic number.

11826940419400 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 11826940419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047495456320).

11826940419400 is an abundant number, since it is smaller than the sum of its proper divisors (16268050493240).

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

11826940419400 is a wasteful number, since it uses less digits than its factorization.

11826940419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551063 (or 551054 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 11826940419400 in words is "eleven trillion, eight hundred twenty-six billion, nine hundred forty million, four hundred nineteen thousand, four hundred".