48404449981440 has 1760 divisors, whose sum is σ = 203842485563904. Its totient is φ = 10755275489280.

The previous prime is 48404449981421. The next prime is 48404449981529. The reversal of 48404449981440 is 4418994440484.

48404449981440 is a `hidden beast` number, since 4 + 8 + 40 + 4 + 449 + 9 + 8 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15046454712 + ... + 15046457928.

Almost surely, 2^{48404449981440} is an apocalyptic number.

48404449981440 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 48404449981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101921242781952).

48404449981440 is an abundant number, since it is smaller than the sum of its proper divisors (155438035582464).

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

48404449981440 is a wasteful number, since it uses less digits than its factorization.

48404449981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 48404449981440 in words is "forty-eight trillion, four hundred four billion, four hundred forty-nine million, nine hundred eighty-one thousand, four hundred forty".