414010240211013 has 32 divisors (see below), whose sum is σ = 569001387943680. Its totient is φ = 267567563450880.

The previous prime is 414010240210951. The next prime is 414010240211021. The reversal of 414010240211013 is 310112042010414.

It is a happy number.

It is not a de Polignac number, because 414010240211013 - 2⁸ = 414010240210757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414010240212013) 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, 351464823 + ... + 352640811.

It is an arithmetic number, because the mean of its divisors is an integer number (17781293373240).

Almost surely, 2^{414010240211013} is an apocalyptic number.

It is an amenable number.

414010240211013 is a deficient number, since it is larger than the sum of its proper divisors (154991147732667).

414010240211013 is a wasteful number, since it uses less digits than its factorization.

414010240211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187597.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 414010240211013 its reverse (310112042010414), we get a palindrome (724122282221427).

The spelling of 414010240211013 in words is "four hundred fourteen trillion, ten billion, two hundred forty million, two hundred eleven thousand, thirteen".