414234024312001 has 32 divisors (see below), whose sum is σ = 433711097568000. Its totient is φ = 394881510481920.

The previous prime is 414234024311977. The next prime is 414234024312011. The reversal of 414234024312001 is 100213420432414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414234024312001 - 2⁹ = 414234024311489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414234024312011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49448966125 + ... + 49448974501.

It is an arithmetic number, because the mean of its divisors is an integer number (13553471799000).

Almost surely, 2^{414234024312001} is an apocalyptic number.

It is an amenable number.

414234024312001 is a deficient number, since it is larger than the sum of its proper divisors (19477073255999).

414234024312001 is a wasteful number, since it uses less digits than its factorization.

414234024312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13849.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 414234024312001 its reverse (100213420432414), we get a palindrome (514447444744415).

The spelling of 414234024312001 in words is "four hundred fourteen trillion, two hundred thirty-four billion, twenty-four million, three hundred twelve thousand, one".