40988587386289 has 9 divisors (see below), whose sum is σ = 41051637260769. Its totient is φ = 40925634229200.

The previous prime is 40988587386233. The next prime is 40988587386319. The reversal of 40988587386289 is 98268378588904.

The square root of 40988587386289 is 6402233.

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 18075209735025 + 22913377651264 = 4251495^2 + 4786792^2 .

It is not a de Polignac number, because 40988587386289 - 2²⁵ = 40988553831857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40988587386209) 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, 4487960767 + ... + 4487969899.

Almost surely, 2^{40988587386289} is an apocalyptic number.

40988587386289 is the 6402233-rd square number.

40988587386289 is the 3201117-th centered octagonal number.

It is an amenable number.

40988587386289 is a deficient number, since it is larger than the sum of its proper divisors (63049874480).

40988587386289 is an frugal number, since it uses more digits than its factorization.

40988587386289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 13377208320, while the sum is 85.

The spelling of 40988587386289 in words is "forty trillion, nine hundred eighty-eight billion, five hundred eighty-seven million, three hundred eighty-six thousand, two hundred eighty-nine".