40034154445344 has 72 divisors (see below), whose sum is σ = 114173336522700. Its totient is φ = 13306481100288.

The previous prime is 40034154445297. The next prime is 40034154445361. The reversal of 40034154445344 is 44354445143004.

40034154445344 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 4 + 154 + 4 + 453 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33417879872400 + 6616274572944 = 5780820^2 + 2572212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40034154445344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199050607 + ... + 199251630.

Almost surely, 2^{40034154445344} is an apocalyptic number.

It is an amenable number.

40034154445344 is an abundant number, since it is smaller than the sum of its proper divisors (74139182077356).

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

40034154445344 is a wasteful number, since it uses less digits than its factorization.

40034154445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398302602 (or 398302591 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 40034154445344 its reverse (44354445143004), we get a palindrome (84388599588348).

The spelling of 40034154445344 in words is "forty trillion, thirty-four billion, one hundred fifty-four million, four hundred forty-five thousand, three hundred forty-four".