48004416000 has 240 divisors, whose sum is σ = 172904980248. Its totient is φ = 12801024000.

The previous prime is 48004415993. The next prime is 48004416023. The reversal of 48004416000 is 61440084.

It can be written as a sum of positive squares in 4 ways, for example, as 24953889024 + 23050526976 = 157968^2 + 151824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534330 + ... + 617670.

Almost surely, 2^48004416000 is an apocalyptic number.

48004416000 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 48004416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86452490124).

48004416000 is an abundant number, since it is smaller than the sum of its proper divisors (124900564248).

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

48004416000 is an equidigital number, since it uses as much as digits as its factorization.

48004416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83380 (or 83351 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 48004416000 its reverse (61440084), we get a palindrome (48065856084).

The spelling of 48004416000 in words is "forty-eight billion, four million, four hundred sixteen thousand".