4181663041920 has 1280 divisors, whose sum is σ = 18608799787200. Its totient is φ = 882171150336.

The previous prime is 4181663041909. The next prime is 4181663041979. The reversal of 4181663041920 is 291403661814.

4181663041920 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 6 + 630 + 4 + 1 + 9 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 539356764 + ... + 539364516.

Almost surely, 2^{4181663041920} is an apocalyptic number.

4181663041920 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 4181663041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9304399893600).

4181663041920 is an abundant number, since it is smaller than the sum of its proper divisors (14427136745280).

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

4181663041920 is an equidigital number, since it uses as much as digits as its factorization.

4181663041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4181663041920 in words is "four trillion, one hundred eighty-one billion, six hundred sixty-three million, forty-one thousand, nine hundred twenty".