40984787809 has 9 divisors (see below), whose sum is σ = 47677830291. Its totient is φ = 35128603440.

The previous prime is 40984787759. The next prime is 40984787813. The reversal of 40984787809 is 90878748904.

The square root of 40984787809 is 202447.

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

It can be written as a sum of positive squares in only one way, i.e., 30309765409 + 10675022400 = 174097^2 + 103320^2 .

It is not a de Polignac number, because 40984787809 - 2²¹ = 40982690657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40984787819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1402669 + ... + 1431589.

It is an arithmetic number, because the mean of its divisors is an integer number (5297536699).

Almost surely, 2^40984787809 is an apocalyptic number.

40984787809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40984787809 is the 202447-th square number.

40984787809 is the 101224-th centered octagonal number.

It is an amenable number.

40984787809 is a deficient number, since it is larger than the sum of its proper divisors (6693042482).

40984787809 is an frugal number, since it uses more digits than its factorization.

40984787809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57856 (or 28928 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 64.

Multiplying 40984787809 by its sum of digits (64), we get a square (2623026419776 = 1619576²).

The spelling of 40984787809 in words is "forty billion, nine hundred eighty-four million, seven hundred eighty-seven thousand, eight hundred nine".