4113298482048 has 1024 divisors, whose sum is σ = 15200944128000. Its totient is φ = 1068504514560.

The previous prime is 4113298482031. The next prime is 4113298482089. The reversal of 4113298482048 is 8402848923114.

4113298482048 is a `hidden beast` number, since 4 + 1 + 1 + 32 + 98 + 482 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4113298481985 and 4113298482003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1809633040 + ... + 1809635312.

It is an arithmetic number, because the mean of its divisors is an integer number (14844672000).

Almost surely, 2^{4113298482048} is an apocalyptic number.

4113298482048 is a gapful number since it is divisible by the number (48) 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 4113298482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600472064000).

4113298482048 is an abundant number, since it is smaller than the sum of its proper divisors (11087645645952).

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

4113298482048 is a wasteful number, since it uses less digits than its factorization.

4113298482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 4113298482048 in words is "four trillion, one hundred thirteen billion, two hundred ninety-eight million, four hundred eighty-two thousand, forty-eight".