48440044800 has 1296 divisors, whose sum is σ = 216358152192. Its totient is φ = 10085990400.

The previous prime is 48440044799. The next prime is 48440044843. The reversal of 48440044800 is 844004484.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 143 ways as a sum of consecutive naturals, for example, 253612705 + ... + 253612895.

Almost surely, 2^48440044800 is an apocalyptic number.

48440044800 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 48440044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108179076096).

48440044800 is an abundant number, since it is smaller than the sum of its proper divisors (167918107392).

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

48440044800 is a wasteful number, since it uses less digits than its factorization.

48440044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

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

It can be divided in two parts, 4844004 and 4800, that added together give a square (4848804 = 2202²).

The spelling of 48440044800 in words is "forty-eight billion, four hundred forty million, forty-four thousand, eight hundred".