1407433440609 has 63 divisors (see below), whose sum is σ = 2455095943107. Its totient is φ = 804119554224.

The previous prime is 1407433440577. The next prime is 1407433440629. The reversal of 1407433440609 is 9060443347041.

The square root of 1407433440609 is 1186353.

It is a perfect power (a square), and thus also a powerful number.

1407433440609 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 4 + 3 + 34 + 4 + 0 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1375330835025 + 32102605584 = 1172745^2 + 179172^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 1407433440609 - 2⁵ = 1407433440577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1407433440629) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 224217579 + ... + 224223855.

Almost surely, 2^{1407433440609} is an apocalyptic number.

1407433440609 is the 1186353-rd square number.

1407433440609 is the 593177-th centered octagonal number.

It is an amenable number.

1407433440609 is a deficient number, since it is larger than the sum of its proper divisors (1047662502498).

1407433440609 is an frugal number, since it uses more digits than its factorization.

1407433440609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1407433440609 in words is "one trillion, four hundred seven billion, four hundred thirty-three million, four hundred forty thousand, six hundred nine".