414040144133 has 12 divisors (see below), whose sum is σ = 520116545760. Its totient is φ = 322628683080.

The previous prime is 414040144129. The next prime is 414040144159. The reversal of 414040144133 is 331441040414.

It is not a de Polignac number, because 414040144133 - 2² = 414040144129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414040144096 and 414040144105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414040144033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244414823 + ... + 244416516.

It is an arithmetic number, because the mean of its divisors is an integer number (43343045480).

Almost surely, 2^414040144133 is an apocalyptic number.

It is an amenable number.

414040144133 is a deficient number, since it is larger than the sum of its proper divisors (106076401627).

414040144133 is a wasteful number, since it uses less digits than its factorization.

414040144133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488831368 (or 488831357 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414040144133 its reverse (331441040414), we get a palindrome (745481184547).

The spelling of 414040144133 in words is "four hundred fourteen billion, forty million, one hundred forty-four thousand, one hundred thirty-three".