414124040421414 has 48 divisors (see below), whose sum is σ = 926223429156480. Its totient is φ = 133586882605440.

The previous prime is 414124040421349. The next prime is 414124040421457.

414124040421414 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 24 + 0 + 404 + 214 + 14 = 666.

414124040421414 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 23 ways as a sum of consecutive naturals, for example, 45473824 + ... + 53815580.

It is an arithmetic number, because the mean of its divisors is an integer number (19296321440760).

Almost surely, 2^{414124040421414} is an apocalyptic number.

414124040421414 is an abundant number, since it is smaller than the sum of its proper divisors (512099388735066).

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

414124040421414 is a wasteful number, since it uses less digits than its factorization.

414124040421414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430765 (or 8430762 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 414124040421414 in words is "four hundred fourteen trillion, one hundred twenty-four billion, forty million, four hundred twenty-one thousand, four hundred fourteen".