104406549811200 has 3744 divisors, whose sum is σ = 495061022566656. Its totient is φ = 20404701757440.

The previous prime is 104406549811189. The next prime is 104406549811261. The reversal of 104406549811200 is 2118945604401.

104406549811200 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 6 + 549 + 81 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95522917854 + ... + 95522918946.

It is an arithmetic number, because the mean of its divisors is an integer number (132227837224).

Almost surely, 2^{104406549811200} is an apocalyptic number.

104406549811200 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 104406549811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247530511283328).

104406549811200 is an abundant number, since it is smaller than the sum of its proper divisors (390654472755456).

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

104406549811200 is a wasteful number, since it uses less digits than its factorization.

104406549811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 104406549811200 in words is "one hundred four trillion, four hundred six billion, five hundred forty-nine million, eight hundred eleven thousand, two hundred".