48409458739200 has 1728 divisors, whose sum is σ = 195425006999040. Its totient is φ = 11370627072000.

The previous prime is 48409458739199. The next prime is 48409458739207. The reversal of 48409458739200 is 293785490484.

48409458739200 is a `hidden beast` number, since 4 + 8 + 40 + 9 + 4 + 587 + 3 + 9 + 2 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (48409458739207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13556273415 + ... + 13556276985.

Almost surely, 2^{48409458739200} is an apocalyptic number.

48409458739200 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 48409458739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97712503499520).

48409458739200 is an abundant number, since it is smaller than the sum of its proper divisors (147015548259840).

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

48409458739200 is a wasteful number, since it uses less digits than its factorization.

48409458739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 48409458739200 in words is "forty-eight trillion, four hundred nine billion, four hundred fifty-eight million, seven hundred thirty-nine thousand, two hundred".