1414104131 has 24 divisors (see below), whose sum is σ = 1579407984. Its totient is φ = 1265000000.

The previous prime is 1414104079. The next prime is 1414104137. The reversal of 1414104131 is 1314014141.

It is not a de Polignac number, because 1414104131 - 2¹⁴ = 1414087747 is a prime.

It is a super-2 number, since 2×1414104131² = 3999380986622530322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1414104137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3067241 + ... + 3067701.

It is an arithmetic number, because the mean of its divisors is an integer number (65808666).

Almost surely, 2^1414104131 is an apocalyptic number.

1414104131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1414104131 is a deficient number, since it is larger than the sum of its proper divisors (165303853).

1414104131 is a wasteful number, since it uses less digits than its factorization.

1414104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1414104131 is about 37604.5759316602. The cubic root of 1414104131 is about 1122.4330956498.

Adding to 1414104131 its reverse (1314014141), we get a palindrome (2728118272).

It can be divided in two parts, 141410 and 4131, that added together give a palindrome (145541).

The spelling of 1414104131 in words is "one billion, four hundred fourteen million, one hundred four thousand, one hundred thirty-one".