40234131069444 has 135 divisors (see below), whose sum is σ = 113897301151557. Its totient is φ = 12379275938016.

The previous prime is 40234131069401. The next prime is 40234131069547. The reversal of 40234131069444 is 44496013143204.

The square root of 40234131069444 is 6343038.

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

40234131069444 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 413 + 106 + 94 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5951794536900 + 34282336532544 = 2439630^2 + 5855112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40234131069444.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1484257339 + ... + 1484284445.

Almost surely, 2^{40234131069444} is an apocalyptic number.

40234131069444 is the 6343038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40234131069444

40234131069444 is an abundant number, since it is smaller than the sum of its proper divisors (73663170082113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40234131069444 is an frugal number, since it uses more digits than its factorization.

40234131069444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54256 (or 27125 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 40234131069444 in words is "forty trillion, two hundred thirty-four billion, one hundred thirty-one million, sixty-nine thousand, four hundred forty-four".