414101404101414 has 32 divisors (see below), whose sum is σ = 828936447774336. Its totient is φ = 137911538186240.

The previous prime is 414101404101389. The next prime is 414101404101487.

414101404101414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164673349 + ... + 167169119.

It is an arithmetic number, because the mean of its divisors is an integer number (25904263992948).

Almost surely, 2^{414101404101414} is an apocalyptic number.

414101404101414 is an abundant number, since it is smaller than the sum of its proper divisors (414835043672922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414101404101414 is a wasteful number, since it uses less digits than its factorization.

414101404101414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520260.

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 41410140 and 4101414, that added together give a palindrome (45511554).

The spelling of 414101404101414 in words is "four hundred fourteen trillion, one hundred one billion, four hundred four million, one hundred one thousand, four hundred fourteen".