1641315916800 has 2640 divisors, whose sum is σ = 7507866727680. Its totient is φ = 350501437440.

The previous prime is 1641315916789. The next prime is 1641315916861. The reversal of 1641315916800 is 86195131461.

1641315916800 is a `hidden beast` number, since 1 + 6 + 413 + 159 + 1 + 6 + 80 + 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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38170137579 + ... + 38170137621.

It is an arithmetic number, because the mean of its divisors is an integer number (2843888912).

Almost surely, 2^{1641315916800} is an apocalyptic number.

1641315916800 is a gapful number since it is divisible by the number (10) 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 1641315916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753933363840).

1641315916800 is an abundant number, since it is smaller than the sum of its proper divisors (5866550810880).

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

1641315916800 is an equidigital number, since it uses as much as digits as its factorization.

1641315916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1641315916800 in words is "one trillion, six hundred forty-one billion, three hundred fifteen million, nine hundred sixteen thousand, eight hundred".