414241040142414 has 24 divisors (see below), whose sum is σ = 902078204175720. Its totient is φ = 137379431247408.

The previous prime is 414241040142407. The next prime is 414241040142427.

414241040142414 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 4 + 1 + 0 + 401 + 4 + 241 + 4 = 666.

414241040142414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414241040142414² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58409618584 + ... + 58409625675.

It is an arithmetic number, because the mean of its divisors is an integer number (37586591840655).

Almost surely, 2^{414241040142414} is an apocalyptic number.

414241040142414 is an abundant number, since it is smaller than the sum of its proper divisors (487837164033306).

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

414241040142414 is a wasteful number, since it uses less digits than its factorization.

414241040142414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116819244464 (or 116819244461 counting only the distinct ones).

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

The spelling of 414241040142414 in words is "four hundred fourteen trillion, two hundred forty-one billion, forty million, one hundred forty-two thousand, four hundred fourteen".