48483325440 has 1280 divisors, whose sum is σ = 207038177280. Its totient is φ = 10705305600.

The previous prime is 48483325381. The next prime is 48483325477. The reversal of 48483325440 is 4452338484.

It is a happy number.

48483325440 is a `hidden beast` number, since 484 + 83 + 3 + 2 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1563978225 + ... + 1563978255.

It is an arithmetic number, because the mean of its divisors is an integer number (161748576).

Almost surely, 2^48483325440 is an apocalyptic number.

48483325440 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 48483325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103519088640).

48483325440 is an abundant number, since it is smaller than the sum of its proper divisors (158554851840).

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

48483325440 is a wasteful number, since it uses less digits than its factorization.

48483325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 48483325440 in words is "forty-eight billion, four hundred eighty-three million, three hundred twenty-five thousand, four hundred forty".