1406233107409 has 27 divisors (see below), whose sum is σ = 1607422140369. Its totient is φ = 1229486169600.

The previous prime is 1406233107407. The next prime is 1406233107479. The reversal of 1406233107409 is 9047013326041.

The square root of 1406233107409 is 1185847.

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

It can be written as a sum of positive squares in 4 ways, for example, as 133009737025 + 1273223370384 = 364705^2 + 1128372^2 .

It is not a de Polignac number, because 1406233107409 - 2¹ = 1406233107407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1406233107407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292901809 + ... + 292906609.

It is an arithmetic number, because the mean of its divisors is an integer number (59534153347).

Almost surely, 2^{1406233107409} is an apocalyptic number.

1406233107409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1406233107409 is the 1185847-th square number.

1406233107409 is the 592924-th centered octagonal number.

It is an amenable number.

1406233107409 is a deficient number, since it is larger than the sum of its proper divisors (201189032960).

1406233107409 is an frugal number, since it uses more digits than its factorization.

1406233107409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9666 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 1406233107409 in words is "one trillion, four hundred six billion, two hundred thirty-three million, one hundred seven thousand, four hundred nine".