4006632450465 has 12 divisors (see below), whose sum is σ = 6944829580884. Its totient is φ = 2136870640224.

The previous prime is 4006632450463. The next prime is 4006632450551. The reversal of 4006632450465 is 5640542366004.

It is a happy number.

4006632450465 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 63 + 24 + 504 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 460160079201 + 3546472371264 = 678351^2 + 1883208^2 .

It is not a de Polignac number, because 4006632450465 - 2¹ = 4006632450463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 89036276677 = 4006632450465 / (4 + 0 + 0 + 6 + 6 + 3 + 2 + 4 + 5 + 0 + 4 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4006632450465.

It is not an unprimeable number, because it can be changed into a prime (4006632450463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44518138294 + ... + 44518138383.

It is an arithmetic number, because the mean of its divisors is an integer number (578735798407).

Almost surely, 2^{4006632450465} is an apocalyptic number.

4006632450465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4006632450465 is a deficient number, since it is larger than the sum of its proper divisors (2938197130419).

4006632450465 is a wasteful number, since it uses less digits than its factorization.

4006632450465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89036276688 (or 89036276685 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 4006632450465 in words is "four trillion, six billion, six hundred thirty-two million, four hundred fifty thousand, four hundred sixty-five".