1641162240 has 480 divisors, whose sum is σ = 6281383680. Its totient is φ = 394149888.

The previous prime is 1641162223. The next prime is 1641162283. The reversal of 1641162240 is 422611461.

1641162240 is a `hidden beast` number, since 1 + 6 + 411 + 6 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10068399 + ... + 10068561.

It is an arithmetic number, because the mean of its divisors is an integer number (13086216).

Almost surely, 2^1641162240 is an apocalyptic number.

1641162240 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 1641162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140691840).

1641162240 is an abundant number, since it is smaller than the sum of its proper divisors (4640221440).

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

1641162240 is a wasteful number, since it uses less digits than its factorization.

1641162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1641162240 is about 40511.2606567606. The cubic root of 1641162240 is about 1179.5522192600.

The spelling of 1641162240 in words is "one billion, six hundred forty-one million, one hundred sixty-two thousand, two hundred forty".