4982171120640 has 3520 divisors, whose sum is σ = 23009448591360. Its totient is φ = 1005520158720.

The previous prime is 4982171120639. The next prime is 4982171120713. The reversal of 4982171120640 is 460211712894.

4982171120640 is a `hidden beast` number, since 498 + 2 + 1 + 7 + 112 + 0 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 60026158039 + ... + 60026158121.

It is an arithmetic number, because the mean of its divisors is an integer number (6536775168).

Almost surely, 2^{4982171120640} is an apocalyptic number.

4982171120640 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 4982171120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504724295680).

4982171120640 is an abundant number, since it is smaller than the sum of its proper divisors (18027277470720).

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

4982171120640 is a wasteful number, since it uses less digits than its factorization.

4982171120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4982171120640 in words is "four trillion, nine hundred eighty-two billion, one hundred seventy-one million, one hundred twenty thousand, six hundred forty".