1641096000 has 336 divisors, whose sum is σ = 6131893248. Its totient is φ = 418176000.

The previous prime is 1641095959. The next prime is 1641096001. The reversal of 1641096000 is 6901461.

1641096000 is a `hidden beast` number, since 16 + 41 + 0 + 9 + 600 + 0 = 666.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655505 + ... + 1656495.

Almost surely, 2^1641096000 is an apocalyptic number.

1641096000 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 1641096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065946624).

1641096000 is an abundant number, since it is smaller than the sum of its proper divisors (4490797248).

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

1641096000 is a wasteful number, since it uses less digits than its factorization.

1641096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1641096000 is about 40510.4430980457. The cubic root of 1641096000 is about 1179.5363494924.

Adding to 1641096000 its reverse (6901461), we get a palindrome (1647997461).

The spelling of 1641096000 in words is "one billion, six hundred forty-one million, ninety-six thousand".