49456444800 has 288 divisors, whose sum is σ = 189494422920. Its totient is φ = 11304222720.

The previous prime is 49456444781. The next prime is 49456444837. The reversal of 49456444800 is 844465494.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49456444800.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 417832 + ... + 522968.

Almost surely, 2^49456444800 is an apocalyptic number.

49456444800 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 49456444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94747211460).

49456444800 is an abundant number, since it is smaller than the sum of its proper divisors (140037978120).

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

49456444800 is a wasteful number, since it uses less digits than its factorization.

49456444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105178 (or 105154 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 49456444800 in words is "forty-nine billion, four hundred fifty-six million, four hundred forty-four thousand, eight hundred".