40312211221304 has 24 divisors (see below), whose sum is σ = 83081468376480. Its totient is φ = 18323732372880.

The previous prime is 40312211221291. The next prime is 40312211221339.

It is a happy number.

40312211221304 is nontrivially palindromic in base 10.

40312211221304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20822422184 + ... + 20822424119.

It is an arithmetic number, because the mean of its divisors is an integer number (3461727849020).

Almost surely, 2^{40312211221304} is an apocalyptic number.

40312211221304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40312211221304 is an abundant number, since it is smaller than the sum of its proper divisors (42769257155176).

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

40312211221304 is a wasteful number, since it uses less digits than its factorization.

40312211221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41644846331 (or 41644846316 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 4031221 and 1221304, that added together give a palindrome (5252525).

The spelling of 40312211221304 in words is "forty trillion, three hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred four".