40313411431304 has 64 divisors (see below), whose sum is σ = 82902172377600. Its totient is φ = 18226075392000.

The previous prime is 40313411431297. The next prime is 40313411431313.

40313411431304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40313411431304² (a number of 28 digits) contains 22 as substring.

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, 12966104 + ... + 15771704.

It is an arithmetic number, because the mean of its divisors is an integer number (1295346443400).

Almost surely, 2^{40313411431304} is an apocalyptic number.

40313411431304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40313411431304 is an abundant number, since it is smaller than the sum of its proper divisors (42588760946296).

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

40313411431304 is a wasteful number, since it uses less digits than its factorization.

40313411431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806494 (or 2806490 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 4031341 and 1431304, that added together give a palindrome (5462645).

The spelling of 40313411431304 in words is "forty trillion, three hundred thirteen billion, four hundred eleven million, four hundred thirty-one thousand, three hundred four".