1417720414131 has 48 divisors (see below), whose sum is σ = 2351223576000. Its totient is φ = 806368760064.

The previous prime is 1417720414091. The next prime is 1417720414139. The reversal of 1417720414131 is 1314140277141.

1417720414131 is a `hidden beast` number, since 1 + 41 + 7 + 72 + 0 + 414 + 131 = 666.

It is not a de Polignac number, because 1417720414131 - 2²⁹ = 1417183543219 is a prime.

It is a super-2 number, since 2×1417720414131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1417720414139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63424345 + ... + 63446693.

It is an arithmetic number, because the mean of its divisors is an integer number (48983824500).

Almost surely, 2^{1417720414131} is an apocalyptic number.

1417720414131 is a deficient number, since it is larger than the sum of its proper divisors (933503161869).

1417720414131 is a wasteful number, since it uses less digits than its factorization.

1417720414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26988 (or 26985 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1417720414131 in words is "one trillion, four hundred seventeen billion, seven hundred twenty million, four hundred fourteen thousand, one hundred thirty-one".