40211879841 has 63 divisors (see below), whose sum is σ = 70199707683. Its totient is φ = 22956559920.

The previous prime is 40211879821. The next prime is 40211879857. The reversal of 40211879841 is 14897811204.

The square root of 40211879841 is 200529.

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

40211879841 is a `hidden beast` number, since 402 + 118 + 7 + 98 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26480727441 + 13731152400 = 162729^2 + 117180^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 40211879841 - 2¹³ = 40211871649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40211879801) 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 62 ways as a sum of consecutive naturals, for example, 37899451 + ... + 37900511.

Almost surely, 2^40211879841 is an apocalyptic number.

40211879841 is the 200529-th square number.

40211879841 is the 100265-th centered octagonal number.

It is an amenable number.

40211879841 is a deficient number, since it is larger than the sum of its proper divisors (29987827842).

40211879841 is an frugal number, since it uses more digits than its factorization.

40211879841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 40211879841 in words is "forty billion, two hundred eleven million, eight hundred seventy-nine thousand, eight hundred forty-one".