48940416000 has 1584 divisors, whose sum is σ = 223519626720. Its totient is φ = 10528358400.

The previous prime is 48940415977. The next prime is 48940416047. The reversal of 48940416000 is 61404984.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48940416000 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 0 + 41 + 600 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2878847992 + ... + 2878848008.

Almost surely, 2^48940416000 is an apocalyptic number.

48940416000 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 48940416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111759813360).

48940416000 is an abundant number, since it is smaller than the sum of its proper divisors (174579210720).

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

48940416000 is a wasteful number, since it uses less digits than its factorization.

48940416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48940416000 in words is "forty-eight billion, nine hundred forty million, four hundred sixteen thousand".