2041216329600 has 3456 divisors, whose sum is σ = 9857942265600. Its totient is φ = 406332702720.

The previous prime is 2041216329577. The next prime is 2041216329611. The reversal of 2041216329600 is 69236121402.

It is a happy number.

2041216329600 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 16 + 32 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 47470147179 + ... + 47470147221.

It is an arithmetic number, because the mean of its divisors is an integer number (2852413850).

Almost surely, 2^{2041216329600} is an apocalyptic number.

2041216329600 is a gapful number since it is divisible by the number (20) 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 2041216329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928971132800).

2041216329600 is an abundant number, since it is smaller than the sum of its proper divisors (7816725936000).

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

2041216329600 is an equidigital number, since it uses as much as digits as its factorization.

2041216329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2041216329600 in words is "two trillion, forty-one billion, two hundred sixteen million, three hundred twenty-nine thousand, six hundred".