40313033031304 has 128 divisors (see below), whose sum is σ = 84469022380800. Its totient is φ = 17882650240000.

The previous prime is 40313033031289. The next prime is 40313033031307.

40313033031304 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40313033031307) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4561841574 + ... + 4561850410.

It is an arithmetic number, because the mean of its divisors is an integer number (659914237350).

Almost surely, 2^{40313033031304} is an apocalyptic number.

40313033031304 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 40313033031304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42234511190400).

40313033031304 is an abundant number, since it is smaller than the sum of its proper divisors (44155989349496).

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

40313033031304 is a wasteful number, since it uses less digits than its factorization.

40313033031304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16255 (or 16251 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 4031303 and 3031304, that added together give a palindrome (7062607).

The spelling of 40313033031304 in words is "forty trillion, three hundred thirteen billion, thirty-three million, thirty-one thousand, three hundred four".