48009749135040 has 1008 divisors, whose sum is σ = 207699449106240. Its totient is φ = 9963598233600.

The previous prime is 48009749134939. The next prime is 48009749135041. The reversal of 48009749135040 is 4053194790084.

48009749135040 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 97 + 49 + 1 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (48009749135041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2022217570 + ... + 2022241310.

It is an arithmetic number, because the mean of its divisors is an integer number (206051040780).

Almost surely, 2^{48009749135040} is an apocalyptic number.

48009749135040 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 48009749135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103849724553120).

48009749135040 is an abundant number, since it is smaller than the sum of its proper divisors (159689699971200).

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

48009749135040 is a wasteful number, since it uses less digits than its factorization.

48009749135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24622 (or 24598 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 48009749135040 in words is "forty-eight trillion, nine billion, seven hundred forty-nine million, one hundred thirty-five thousand, forty".