49041568800 has 1152 divisors, whose sum is σ = 218885990400. Its totient is φ = 10346434560.

The previous prime is 49041568799. The next prime is 49041568801. The reversal of 49041568800 is 886514094.

49041568800 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 1 + 568 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49041568799) and next prime (49041568801).

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

It is not an unprimeable number, because it can be changed into a prime (49041568801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123530202 + ... + 123530598.

It is an arithmetic number, because the mean of its divisors is an integer number (190005200).

Almost surely, 2^49041568800 is an apocalyptic number.

49041568800 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 49041568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109442995200).

49041568800 is an abundant number, since it is smaller than the sum of its proper divisors (169844421600).

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

49041568800 is a wasteful number, since it uses less digits than its factorization.

49041568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

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

The spelling of 49041568800 in words is "forty-nine billion, forty-one million, five hundred sixty-eight thousand, eight hundred".