1671407440 has 40 divisors (see below), whose sum is σ = 3892864680. Its totient is φ = 667385856.

The previous prime is 1671407369. The next prime is 1671407449. The reversal of 1671407440 is 447041761.

It can be written as a sum of positive squares in 4 ways, for example, as 375119424 + 1296288016 = 19368^2 + 36004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1671407396 and 1671407405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671407449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28056 + ... + 64264.

It is an arithmetic number, because the mean of its divisors is an integer number (97321617).

Almost surely, 2^1671407440 is an apocalyptic number.

1671407440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1671407440 is an abundant number, since it is smaller than the sum of its proper divisors (2221457240).

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

1671407440 is a wasteful number, since it uses less digits than its factorization.

1671407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36799 (or 36793 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 1671407440 is about 40882.8501941829. The cubic root of 1671407440 is about 1186.7541989606.

The spelling of 1671407440 in words is "one billion, six hundred seventy-one million, four hundred seven thousand, four hundred forty".