4161333657600 has 2880 divisors, whose sum is σ = 19319625726720. Its totient is φ = 866333491200.

The previous prime is 4161333657599. The next prime is 4161333657623. The reversal of 4161333657600 is 67563331614.

4161333657600 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 3 + 3 + 36 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 134236569585 + ... + 134236569615.

Almost surely, 2^{4161333657600} is an apocalyptic number.

4161333657600 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 4161333657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659812863360).

4161333657600 is an abundant number, since it is smaller than the sum of its proper divisors (15158292069120).

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

4161333657600 is an equidigital number, since it uses as much as digits as its factorization.

4161333657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 4161333657600 in words is "four trillion, one hundred sixty-one billion, three hundred thirty-three million, six hundred fifty-seven thousand, six hundred".