1671114240 has 200 divisors, whose sum is σ = 5986145880. Its totient is φ = 445575168.

The previous prime is 1671114233. The next prime is 1671114251. The reversal of 1671114240 is 424111761.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 203331 + ... + 211389.

Almost surely, 2^1671114240 is an apocalyptic number.

1671114240 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 1671114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993072940).

1671114240 is an abundant number, since it is smaller than the sum of its proper divisors (4315031640).

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

1671114240 is an frugal number, since it uses more digits than its factorization.

1671114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1671114240 is about 40879.2641812447. The cubic root of 1671114240 is about 1186.6848010246.

The spelling of 1671114240 in words is "one billion, six hundred seventy-one million, one hundred fourteen thousand, two hundred forty".