48007380529440 has 480 divisors, whose sum is σ = 170563632180480. Its totient is φ = 12716282880000.

The previous prime is 48007380529417. The next prime is 48007380529457. The reversal of 48007380529440 is 4492508370084.

48007380529440 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 73 + 8 + 0 + 529 + 4 + 40 = 666.

48007380529440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1242054115 + ... + 1242092765.

It is an arithmetic number, because the mean of its divisors is an integer number (355340900376).

Almost surely, 2^{48007380529440} is an apocalyptic number.

48007380529440 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 48007380529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85281816090240).

48007380529440 is an abundant number, since it is smaller than the sum of its proper divisors (122556251651040).

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

48007380529440 is a wasteful number, since it uses less digits than its factorization.

48007380529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39318 (or 39301 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48007380529440 in words is "forty-eight trillion, seven billion, three hundred eighty million, five hundred twenty-nine thousand, four hundred forty".