414102004344 has 160 divisors (see below), whose sum is σ = 1403539267680. Its totient is φ = 111355140096.

The previous prime is 414102004343. The next prime is 414102004373. The reversal of 414102004344 is 443400201414.

414102004344 is a `hidden beast` number, since 4 + 1 + 410 + 200 + 4 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414102004343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2607957 + ... + 2762180.

It is an arithmetic number, because the mean of its divisors is an integer number (8772120423).

Almost surely, 2^414102004344 is an apocalyptic number.

It is an amenable number.

414102004344 is an abundant number, since it is smaller than the sum of its proper divisors (989437263336).

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

414102004344 is a wasteful number, since it uses less digits than its factorization.

414102004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370179 (or 5370166 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414102004344 its reverse (443400201414), we get a palindrome (857502205758).

The spelling of 414102004344 in words is "four hundred fourteen billion, one hundred two million, four thousand, three hundred forty-four".