414034241324 has 48 divisors (see below), whose sum is σ = 845211368736. Its totient is φ = 175373184000.

The previous prime is 414034241297. The next prime is 414034241329. The reversal of 414034241324 is 423142430414.

It is not an unprimeable number, because it can be changed into a prime (414034241329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664659 + ... + 2815754.

It is an arithmetic number, because the mean of its divisors is an integer number (17608570182).

Almost surely, 2^414034241324 is an apocalyptic number.

414034241324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414034241324 is an abundant number, since it is smaller than the sum of its proper divisors (431177127412).

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

414034241324 is a wasteful number, since it uses less digits than its factorization.

414034241324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480546 (or 5480544 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 414034241324 its reverse (423142430414), we get a palindrome (837176671738).

The spelling of 414034241324 in words is "four hundred fourteen billion, thirty-four million, two hundred forty-one thousand, three hundred twenty-four".