1641335040 has 432 divisors, whose sum is σ = 6241762800. Its totient is φ = 397737984.

The previous prime is 1641335027. The next prime is 1641335071. The reversal of 1641335040 is 405331461.

It can be written as a sum of positive squares in 8 ways, for example, as 112896 + 1641222144 = 336^2 + 40512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1641334995 and 1641335013.

It is a congruent number.

It is an unprimeable number.

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, 56597746 + ... + 56597774.

It is an arithmetic number, because the mean of its divisors is an integer number (14448525).

Almost surely, 2^1641335040 is an apocalyptic number.

1641335040 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 1641335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120881400).

1641335040 is an abundant number, since it is smaller than the sum of its proper divisors (4600427760).

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

1641335040 is an equidigital number, since it uses as much as digits as its factorization.

1641335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1641335040 is about 40513.3933409681. The cubic root of 1641335040 is about 1179.5936166440.

The spelling of 1641335040 in words is "one billion, six hundred forty-one million, three hundred thirty-five thousand, forty".