49141100800 has 648 divisors, whose sum is σ = 145625679360. Its totient is φ = 16355328000.

The previous prime is 49141100797. The next prime is 49141100807. The reversal of 49141100800 is 800114194.

It is not an unprimeable number, because it can be changed into a prime (49141100807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 552147156 + ... + 552147244.

Almost surely, 2^49141100800 is an apocalyptic number.

49141100800 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 49141100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72812839680).

49141100800 is an abundant number, since it is smaller than the sum of its proper divisors (96484578560).

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

49141100800 is a wasteful number, since it uses less digits than its factorization.

49141100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 49141100800 its reverse (800114194), we get a palindrome (49941214994).

It can be divided in two parts, 49141 and 100800, that added together give a palindrome (149941).

The spelling of 49141100800 in words is "forty-nine billion, one hundred forty-one million, one hundred thousand, eight hundred".