40286858979249 has 27 divisors (see below), whose sum is σ = 58453680249003. Its totient is φ = 26737728233904.

The previous prime is 40286858979187. The next prime is 40286858979293. The reversal of 40286858979249 is 94297985868204.

The square root of 40286858979249 is 6347193.

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

40286858979249 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 6 + 8 + 589 + 7 + 9 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37521223458849 + 2765635520400 = 6125457^2 + 1663020^2 .

It is not a de Polignac number, because 40286858979249 - 2⁷ = 40286858979121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40286858979049) 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, 4360516972 + ... + 4360526210.

Almost surely, 2^{40286858979249} is an apocalyptic number.

40286858979249 is the 6347193-rd square number.

40286858979249 is the 3173597-th centered octagonal number.

It is an amenable number.

40286858979249 is a deficient number, since it is larger than the sum of its proper divisors (18166821269754).

40286858979249 is an frugal number, since it uses more digits than its factorization.

40286858979249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18942 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 40286858979249 in words is "forty trillion, two hundred eighty-six billion, eight hundred fifty-eight million, nine hundred seventy-nine thousand, two hundred forty-nine".