1670360977440 has 144 divisors (see below), whose sum is σ = 5704494560856. Its totient is φ = 445086720000.

The previous prime is 1670360977409. The next prime is 1670360977457. The reversal of 1670360977440 is 447790630761.

1670360977440 is a `hidden beast` number, since 1 + 6 + 70 + 3 + 60 + 9 + 77 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 484466113296 + 1185894864144 = 696036^2 + 1088988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427640 + ... + 2319240.

Almost surely, 2^{1670360977440} is an apocalyptic number.

1670360977440 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 1670360977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852247280428).

1670360977440 is an abundant number, since it is smaller than the sum of its proper divisors (4034133583416).

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

1670360977440 is a wasteful number, since it uses less digits than its factorization.

1670360977440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892923 (or 892912 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 1670360977440 in words is "one trillion, six hundred seventy billion, three hundred sixty million, nine hundred seventy-seven thousand, four hundred forty".