48003941440 has 448 divisors, whose sum is σ = 148883632128. Its totient is φ = 14332723200.

The previous prime is 48003941411. The next prime is 48003941441. The reversal of 48003941440 is 4414930084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 48003941440.

It is not an unprimeable number, because it can be changed into a prime (48003941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37010872 + ... + 37012168.

It is an arithmetic number, because the mean of its divisors is an integer number (332329536).

Almost surely, 2^48003941440 is an apocalyptic number.

48003941440 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 48003941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74441816064).

48003941440 is an abundant number, since it is smaller than the sum of its proper divisors (100879690688).

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

48003941440 is a wasteful number, since it uses less digits than its factorization.

48003941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 48003941440 in words is "forty-eight billion, three million, nine hundred forty-one thousand, four hundred forty".