1671541040 has 80 divisors (see below), whose sum is σ = 4232541600. Its totient is φ = 610215936.

The previous prime is 1671541037. The next prime is 1671541057. The reversal of 1671541040 is 401451761.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1671540994 and 1671541012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83531 + ... + 101589.

It is an arithmetic number, because the mean of its divisors is an integer number (52906770).

Almost surely, 2^1671541040 is an apocalyptic number.

1671541040 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 1671541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116270800).

1671541040 is an abundant number, since it is smaller than the sum of its proper divisors (2561000560).

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

1671541040 is a wasteful number, since it uses less digits than its factorization.

1671541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18174 (or 18168 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 1671541040 is about 40884.4840984939. The cubic root of 1671541040 is about 1186.7858182480.

The spelling of 1671541040 in words is "one billion, six hundred seventy-one million, five hundred forty-one thousand, forty".