414201414102 has 32 divisors (see below), whose sum is σ = 959715220992. Its totient is φ = 116722119744.

The previous prime is 414201414061. The next prime is 414201414119. The reversal of 414201414102 is 201414102414.

It is a super-2 number, since 2×414201414102² (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 67544458 + ... + 67550589.

It is an arithmetic number, because the mean of its divisors is an integer number (29991100656).

Almost surely, 2^414201414102 is an apocalyptic number.

414201414102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414201414102 is an abundant number, since it is smaller than the sum of its proper divisors (545513806890).

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

414201414102 is a wasteful number, since it uses less digits than its factorization.

414201414102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135095132.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414201414102 its reverse (201414102414), we get a palindrome (615615516516).

The spelling of 414201414102 in words is "four hundred fourteen billion, two hundred one million, four hundred fourteen thousand, one hundred two".