40343255234304 has 144 divisors (see below), whose sum is σ = 117145047298944. Its totient is φ = 12223968768000.

The previous prime is 40343255234291. The next prime is 40343255234329.

40343255234304 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83402487 + ... + 83884809.

Almost surely, 2^{40343255234304} is an apocalyptic number.

40343255234304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40343255234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58572523649472).

40343255234304 is an abundant number, since it is smaller than the sum of its proper divisors (76801792064640).

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

40343255234304 is a wasteful number, since it uses less digits than its factorization.

40343255234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492254 (or 492240 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 4034325 and 5234304, that added together give a palindrome (9268629).

The spelling of 40343255234304 in words is "forty trillion, three hundred forty-three billion, two hundred fifty-five million, two hundred thirty-four thousand, three hundred four".