4681183021920 has 384 divisors, whose sum is σ = 16804174464000. Its totient is φ = 1216448077824.

The previous prime is 4681183021919. The next prime is 4681183021927. The reversal of 4681183021920 is 291203811864.

4681183021920 is a `hidden beast` number, since 46 + 8 + 118 + 302 + 192 + 0 = 666.

It is a super-3 number, since 3×4681183021920³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681183021927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80404981 + ... + 80463179.

It is an arithmetic number, because the mean of its divisors is an integer number (43760871000).

Almost surely, 2^{4681183021920} is an apocalyptic number.

4681183021920 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 4681183021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402087232000).

4681183021920 is an abundant number, since it is smaller than the sum of its proper divisors (12122991442080).

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

4681183021920 is a wasteful number, since it uses less digits than its factorization.

4681183021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58699 (or 58685 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 4681183021920 in words is "four trillion, six hundred eighty-one billion, one hundred eighty-three million, twenty-one thousand, nine hundred twenty".