48966949440 has 336 divisors, whose sum is σ = 178935644160. Its totient is φ = 12738539520.

The previous prime is 48966949439. The next prime is 48966949441. The reversal of 48966949440 is 4494966984.

48966949440 is a `hidden beast` number, since 4 + 8 + 96 + 69 + 49 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (48966949439) and next prime (48966949441).

It is not an unprimeable number, because it can be changed into a prime (48966949441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3180481 + ... + 3195839.

It is an arithmetic number, because the mean of its divisors is an integer number (532546560).

Almost surely, 2^48966949440 is an apocalyptic number.

48966949440 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 48966949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89467822080).

48966949440 is an abundant number, since it is smaller than the sum of its proper divisors (129968694720).

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

48966949440 is a wasteful number, since it uses less digits than its factorization.

48966949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 48966949440 in words is "forty-eight billion, nine hundred sixty-six million, nine hundred forty-nine thousand, four hundred forty".