40189982956249 has 9 divisors (see below), whose sum is σ = 46751664448821. Its totient is φ = 34448518782300.

The previous prime is 40189982956231. The next prime is 40189982956273. The reversal of 40189982956249 is 94265928998104.

The square root of 40189982956249 is 6339557.

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

40189982956249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40189982956249 - 2¹⁵ = 40189982923481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40189982956219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43924074 + ... + 44829724.

Almost surely, 2^{40189982956249} is an apocalyptic number.

40189982956249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40189982956249 is the 6339557-th square number.

40189982956249 is the 3169779-th centered octagonal number.

It is an amenable number.

40189982956249 is a deficient number, since it is larger than the sum of its proper divisors (6561681492572).

40189982956249 is an frugal number, since it uses more digits than its factorization.

40189982956249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811316 (or 905658 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 76.

The spelling of 40189982956249 in words is "forty trillion, one hundred eighty-nine billion, nine hundred eighty-two million, nine hundred fifty-six thousand, two hundred forty-nine".