48404044800 has 792 divisors, whose sum is σ = 186265078272. Its totient is φ = 12441600000.

The previous prime is 48404044783. The next prime is 48404044837. The reversal of 48404044800 is 844040484.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 192844675 + ... + 192844925.

Almost surely, 2^48404044800 is an apocalyptic number.

48404044800 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 48404044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132539136).

48404044800 is an abundant number, since it is smaller than the sum of its proper divisors (137861033472).

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

48404044800 is a wasteful number, since it uses less digits than its factorization.

48404044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 48404044800 in words is "forty-eight billion, four hundred four million, forty-four thousand, eight hundred".