40344337881 has 81 divisors (see below), whose sum is σ = 63332926111. Its totient is φ = 24745828800.

The previous prime is 40344337871. The next prime is 40344337897. The reversal of 40344337881 is 18873344304.

The square root of 40344337881 is 200859.

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

40344337881 is a `hidden beast` number, since 40 + 34 + 433 + 78 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1944016281 + 38400321600 = 44091^2 + 195960^2 .

It is not a de Polignac number, because 40344337881 - 2¹¹ = 40344335833 is a prime.

It is a super-2 number, since 2×40344337881² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40344337811) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 568230076 + ... + 568230146.

Almost surely, 2^40344337881 is an apocalyptic number.

40344337881 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40344337881 is the 200859-th square number.

40344337881 is the 100430-th centered octagonal number.

It is an amenable number.

40344337881 is a deficient number, since it is larger than the sum of its proper divisors (22988588230).

40344337881 is an equidigital number, since it uses as much as digits as its factorization.

40344337881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

It can be divided in two parts, 40344 and 337881, that added together give a square (378225 = 615²).

The spelling of 40344337881 in words is "forty billion, three hundred forty-four million, three hundred thirty-seven thousand, eight hundred eighty-one".