30848076311040 has 960 divisors, whose sum is σ = 112612646615040. Its totient is φ = 7793232445440.

The previous prime is 30848076311033. The next prime is 30848076311051. The reversal of 30848076311040 is 4011367084803.

30848076311040 is a `hidden beast` number, since 3 + 0 + 8 + 4 + 8 + 0 + 7 + 631 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31381562389 + ... + 31381563371.

It is an arithmetic number, because the mean of its divisors is an integer number (117304840224).

Almost surely, 2^{30848076311040} is an apocalyptic number.

30848076311040 is a gapful number since it is divisible by the number (30) 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 30848076311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306323307520).

30848076311040 is an abundant number, since it is smaller than the sum of its proper divisors (81764570304000).

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

30848076311040 is a wasteful number, since it uses less digits than its factorization.

30848076311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 30848076311040 in words is "thirty trillion, eight hundred forty-eight billion, seventy-six million, three hundred eleven thousand, forty".