40407834289 has 9 divisors (see below), whose sum is σ = 40671053913. Its totient is φ = 40146311172.

The previous prime is 40407834217. The next prime is 40407834319. The reversal of 40407834289 is 98243870404.

It is a happy number.

The square root of 40407834289 is 201017.

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

It is not a de Polignac number, because 40407834289 - 2⁹ = 40407833777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40407834209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35981482 + ... + 35982604.

Almost surely, 2^40407834289 is an apocalyptic number.

40407834289 is the 201017-th square number.

40407834289 is the 100509-th centered octagonal number.

It is an amenable number.

40407834289 is a deficient number, since it is larger than the sum of its proper divisors (263219624).

40407834289 is an frugal number, since it uses more digits than its factorization.

40407834289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 40407834289 by its sum of digits (49), we get a square (1979983880161 = 1407119²).

The spelling of 40407834289 in words is "forty billion, four hundred seven million, eight hundred thirty-four thousand, two hundred eighty-nine".