1641013920 has 432 divisors, whose sum is σ = 7019255880. Its totient is φ = 346042368.

The previous prime is 1641013909. The next prime is 1641013937. The reversal of 1641013920 is 293101461.

1641013920 is a `hidden beast` number, since 1 + 641 + 0 + 13 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1409852304 + 231161616 = 37548^2 + 15204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916386 + ... + 918174.

Almost surely, 2^1641013920 is an apocalyptic number.

1641013920 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 1641013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509627940).

1641013920 is an abundant number, since it is smaller than the sum of its proper divisors (5378241960).

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

1641013920 is a wasteful number, since it uses less digits than its factorization.

1641013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1819 counting only the distinct ones).

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

The square root of 1641013920 is about 40509.4300132697. The cubic root of 1641013920 is about 1179.5166841879.

The spelling of 1641013920 in words is "one billion, six hundred forty-one million, thirteen thousand, nine hundred twenty".