414101101304 has 64 divisors (see below), whose sum is σ = 905730012000. Its totient is φ = 175401472000.

The previous prime is 414101101283. The next prime is 414101101411. The reversal of 414101101304 is 403101101414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219229 + ... + 1521420.

Almost surely, 2^414101101304 is an apocalyptic number.

414101101304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414101101304 is an abundant number, since it is smaller than the sum of its proper divisors (491628910696).

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

414101101304 is a wasteful number, since it uses less digits than its factorization.

414101101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740784 (or 2740780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 414101101304 its reverse (403101101414), we get a palindrome (817202202718).

It can be divided in two parts, 41410110 and 1304, that added together give a palindrome (41411414).

The spelling of 414101101304 in words is "four hundred fourteen billion, one hundred one million, one hundred one thousand, three hundred four".