842449186051200 has 18432 divisors, whose sum is σ = 4677828599808000. Its totient is φ = 144473849856000.

The previous prime is 842449186051117. The next prime is 842449186051223. The reversal of 842449186051200 is 2150681944248.

842449186051200 is a `hidden beast` number, since 8 + 4 + 2 + 4 + 4 + 9 + 1 + 8 + 605 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 2303 ways as a sum of consecutive naturals, for example, 20547541123180 + ... + 20547541123220.

It is an arithmetic number, because the mean of its divisors is an integer number (253788444000).

Almost surely, 2^{842449186051200} is an apocalyptic number.

842449186051200 is a gapful number since it is divisible by the number (80) 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 842449186051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338914299904000).

842449186051200 is an abundant number, since it is smaller than the sum of its proper divisors (3835379413756800).

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

842449186051200 is a wasteful number, since it uses less digits than its factorization.

842449186051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 842449186051200 in words is "eight hundred forty-two trillion, four hundred forty-nine billion, one hundred eighty-six million, fifty-one thousand, two hundred".