40852819007641 has 27 divisors (see below), whose sum is σ = 41678690937663. Its totient is φ = 40043249900160.

The previous prime is 40852819007621. The next prime is 40852819007669. The reversal of 40852819007641 is 14670091825804.

The square root of 40852819007641 is 6391621.

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

40852819007641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18344474472025 + 22508344535616 = 4283045^2 + 4744296^2 .

It is not a de Polignac number, because 40852819007641 - 2²¹ = 40852816910489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40852819007621) 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 26 ways as a sum of consecutive naturals, for example, 81218327796 + ... + 81218328298.

Almost surely, 2^{40852819007641} is an apocalyptic number.

40852819007641 is the 6391621-st square number.

40852819007641 is the 3195811-st centered octagonal number.

It is an amenable number.

40852819007641 is a deficient number, since it is larger than the sum of its proper divisors (825871930022).

40852819007641 is an frugal number, since it uses more digits than its factorization.

40852819007641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 40852819007641 in words is "forty trillion, eight hundred fifty-two billion, eight hundred nineteen million, seven thousand, six hundred forty-one".