49404119200200 has 384 divisors, whose sum is σ = 172661091840000. Its totient is φ = 12982946457600.

The previous prime is 49404119200187. The next prime is 49404119200207. The reversal of 49404119200200 is 200291140494.

49404119200200 is a `hidden beast` number, since 49 + 404 + 1 + 1 + 9 + 2 + 0 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49404119200207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101942460 + ... + 102425940.

It is an arithmetic number, because the mean of its divisors is an integer number (449638260000).

Almost surely, 2^{49404119200200} is an apocalyptic number.

49404119200200 is a gapful number since it is divisible by the number (40) 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 49404119200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86330545920000).

49404119200200 is an abundant number, since it is smaller than the sum of its proper divisors (123256972639800).

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

49404119200200 is a wasteful number, since it uses less digits than its factorization.

49404119200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483782 (or 483767 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 49404119200200 in words is "forty-nine trillion, four hundred four billion, one hundred nineteen million, two hundred thousand, two hundred".