49431727800 has 576 divisors, whose sum is σ = 205191866880. Its totient is φ = 10385003520.

The previous prime is 49431727769. The next prime is 49431727801. The reversal of 49431727800 is 872713494.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49431727801) 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 143 ways as a sum of consecutive naturals, for example, 50286109 + ... + 50287091.

It is an arithmetic number, because the mean of its divisors is an integer number (356235880).

Almost surely, 2^49431727800 is an apocalyptic number.

49431727800 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 49431727800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102595933440).

49431727800 is an abundant number, since it is smaller than the sum of its proper divisors (155760139080).

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

49431727800 is a wasteful number, since it uses less digits than its factorization.

49431727800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 49431727800 in words is "forty-nine billion, four hundred thirty-one million, seven hundred twenty-seven thousand, eight hundred".