48278903040 has 360 divisors, whose sum is σ = 178718795640. Its totient is φ = 12429656064.

The previous prime is 48278903033. The next prime is 48278903129. The reversal of 48278903040 is 4030987284.

It can be written as a sum of positive squares in 4 ways, for example, as 4561111296 + 43717791744 = 67536^2 + 209088^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 2998692 + ... + 3014748.

It is an arithmetic number, because the mean of its divisors is an integer number (496441099).

Almost surely, 2^48278903040 is an apocalyptic number.

48278903040 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 48278903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89359397820).

48278903040 is an abundant number, since it is smaller than the sum of its proper divisors (130439892600).

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

48278903040 is a wasteful number, since it uses less digits than its factorization.

48278903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16119 (or 16096 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48278903040 in words is "forty-eight billion, two hundred seventy-eight million, nine hundred three thousand, forty".