48538090440 has 192 divisors, whose sum is σ = 180367200000. Its totient is φ = 11089322496.

The previous prime is 48538090439. The next prime is 48538090459. The reversal of 48538090440 is 4409083584.

It is a happy number.

48538090440 is a `hidden beast` number, since 48 + 5 + 3 + 80 + 90 + 440 = 666.

48538090440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9707061 + ... + 9712059.

It is an arithmetic number, because the mean of its divisors is an integer number (939412500).

Almost surely, 2^48538090440 is an apocalyptic number.

48538090440 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 48538090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90183600000).

48538090440 is an abundant number, since it is smaller than the sum of its proper divisors (131829109560).

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

48538090440 is a wasteful number, since it uses less digits than its factorization.

48538090440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48538090440 in words is "forty-eight billion, five hundred thirty-eight million, ninety thousand, four hundred forty".