4131334061640 has 96 divisors (see below), whose sum is σ = 13559774787000. Its totient is φ = 1090781260800.

The previous prime is 4131334061639. The next prime is 4131334061677. The reversal of 4131334061640 is 461604331314.

4131334061640 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 3 + 3 + 4 + 0 + 6 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4024220554116 + 107113507524 = 2006046^2 + 327282^2 .

It is a super-2 number, since 2×4131334061640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4131334061595 and 4131334061604.

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 23 ways as a sum of consecutive naturals, for example, 56775165 + ... + 56847884.

Almost surely, 2^{4131334061640} is an apocalyptic number.

4131334061640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131334061640 is an abundant number, since it is smaller than the sum of its proper divisors (9428440725360).

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

4131334061640 is a wasteful number, since it uses less digits than its factorization.

4131334061640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113623167 (or 113623160 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 4131334061640 its reverse (461604331314), we get a palindrome (4592938392954).

The spelling of 4131334061640 in words is "four trillion, one hundred thirty-one billion, three hundred thirty-four million, sixty-one thousand, six hundred forty".