40314211241304 has 256 divisors, whose sum is σ = 138977741306880. Its totient is φ = 9404508395520.

The previous prime is 40314211241261. The next prime is 40314211241321.

It is a happy number.

40314211241304 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21787879 + ... + 23565654.

It is an arithmetic number, because the mean of its divisors is an integer number (542881801980).

Almost surely, 2^{40314211241304} is an apocalyptic number.

40314211241304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40314211241304 is an abundant number, since it is smaller than the sum of its proper divisors (98663530065576).

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

40314211241304 is a wasteful number, since it uses less digits than its factorization.

40314211241304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45353610 (or 45353606 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4031421 and 1241304, that added together give a palindrome (5272725).

The spelling of 40314211241304 in words is "forty trillion, three hundred fourteen billion, two hundred eleven million, two hundred forty-one thousand, three hundred four".