40013311331004 has 24 divisors (see below), whose sum is σ = 101852065206528. Its totient is φ = 12125245857840.

The previous prime is 40013311330961. The next prime is 40013311331023.

40013311331004 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 7 ways as a sum of consecutive naturals, for example, 151565573092 + ... + 151565573355.

It is an arithmetic number, because the mean of its divisors is an integer number (4243836050272).

Almost surely, 2^{40013311331004} is an apocalyptic number.

40013311331004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40013311331004 is an abundant number, since it is smaller than the sum of its proper divisors (61838753875524).

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

40013311331004 is a wasteful number, since it uses less digits than its factorization.

40013311331004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303131146465 (or 303131146463 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 4001331 and 1331004, that added together give a palindrome (5332335).

The spelling of 40013311331004 in words is "forty trillion, thirteen billion, three hundred eleven million, three hundred thirty-one thousand, four".