4809941823960 has 2304 divisors, whose sum is σ = 21713541696000. Its totient is φ = 936091054080.

The previous prime is 4809941823943. The next prime is 4809941823977. The reversal of 4809941823960 is 693281499084.

4809941823960 is a `hidden beast` number, since 4 + 80 + 9 + 94 + 1 + 82 + 396 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4809941823943) and next prime (4809941823977).

It is a super-3 number, since 3×4809941823960³ (a number of 39 digits) contains 333 as substring.

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 575 ways as a sum of consecutive naturals, for example, 36717113095 + ... + 36717113225.

It is an arithmetic number, because the mean of its divisors is an integer number (9424280250).

Almost surely, 2^{4809941823960} is an apocalyptic number.

4809941823960 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 4809941823960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856770848000).

4809941823960 is an abundant number, since it is smaller than the sum of its proper divisors (16903599872040).

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

4809941823960 is a wasteful number, since it uses less digits than its factorization.

4809941823960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 4809941823960 in words is "four trillion, eight hundred nine billion, nine hundred forty-one million, eight hundred twenty-three thousand, nine hundred sixty".