10414241301141 has 48 divisors (see below), whose sum is σ = 15671545344000. Its totient is φ = 6910967670768.

The previous prime is 10414241301131. The next prime is 10414241301209. The reversal of 10414241301141 is 14110314241401.

10414241301141 is a `hidden beast` number, since 1 + 0 + 414 + 2 + 4 + 130 + 114 + 1 = 666.

It is not a de Polignac number, because 10414241301141 - 2²² = 10414237106837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414241301131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370612710 + ... + 370640808.

It is an arithmetic number, because the mean of its divisors is an integer number (326490528000).

Almost surely, 2^{10414241301141} is an apocalyptic number.

It is an amenable number.

10414241301141 is a deficient number, since it is larger than the sum of its proper divisors (5257304042859).

10414241301141 is an equidigital number, since it uses as much as digits as its factorization.

10414241301141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35060 (or 35048 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10414241301141 its reverse (14110314241401), we get a palindrome (24524555542542).

The spelling of 10414241301141 in words is "ten trillion, four hundred fourteen billion, two hundred forty-one million, three hundred one thousand, one hundred forty-one".