31404244240413 has 192 divisors, whose sum is σ = 52007352044544. Its totient is φ = 18092325888000.

The previous prime is 31404244240387. The next prime is 31404244240423.

31404244240413 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 4 + 244 + 2 + 404 + 1 + 3 = 666.

31404244240413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31404244240413 - 2⁶ = 31404244240349 is a prime.

It is a super-4 number, since 4×31404244240413⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31404244240423) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33373266523 + ... + 33373267463.

It is an arithmetic number, because the mean of its divisors is an integer number (270871625232).

Almost surely, 2^{31404244240413} is an apocalyptic number.

31404244240413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31404244240413 is a deficient number, since it is larger than the sum of its proper divisors (20603107804131).

31404244240413 is a wasteful number, since it uses less digits than its factorization.

31404244240413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 3140424 and 4240413, that added together give a palindrome (7380837).

The spelling of 31404244240413 in words is "thirty-one trillion, four hundred four billion, two hundred forty-four million, two hundred forty thousand, four hundred thirteen".