48524448000400 has 240 divisors, whose sum is σ = 121470278529600. Its totient is φ = 18605440788480.

The previous prime is 48524448000337. The next prime is 48524448000403. The reversal of 48524448000400 is 400084442584.

It is not an unprimeable number, because it can be changed into a prime (48524448000403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2292880219 + ... + 2292901381.

It is an arithmetic number, because the mean of its divisors is an integer number (506126160540).

Almost surely, 2^{48524448000400} is an apocalyptic number.

48524448000400 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 48524448000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60735139264800).

48524448000400 is an abundant number, since it is smaller than the sum of its proper divisors (72945830529200).

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

48524448000400 is a wasteful number, since it uses less digits than its factorization.

48524448000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22626 (or 22615 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 43.

The spelling of 48524448000400 in words is "forty-eight trillion, five hundred twenty-four billion, four hundred forty-eight million, four hundred", and thus it is an aban number.