1671143040 has 576 divisors, whose sum is σ = 6965637120. Its totient is φ = 367718400.

The previous prime is 1671143029. The next prime is 1671143051. The reversal of 1671143040 is 403411761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1671143029) and next prime (1671143051).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 1671142995 and 1671143013.

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, 8749345 + ... + 8749535.

It is an arithmetic number, because the mean of its divisors is an integer number (12093120).

Almost surely, 2^1671143040 is an apocalyptic number.

1671143040 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 1671143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482818560).

1671143040 is an abundant number, since it is smaller than the sum of its proper divisors (5294494080).

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

1671143040 is a wasteful number, since it uses less digits than its factorization.

1671143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1671143040 is about 40879.6164365567. The cubic root of 1671143040 is about 1186.6916180981.

The spelling of 1671143040 in words is "one billion, six hundred seventy-one million, one hundred forty-three thousand, forty".