414042304401 has 16 divisors (see below), whose sum is σ = 669159280320. Its totient is φ = 250934729760.

The previous prime is 414042304393. The next prime is 414042304411. The reversal of 414042304401 is 104403240414.

It is not a de Polignac number, because 414042304401 - 2³ = 414042304393 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414042304411) 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, 697040620 + ... + 697041213.

It is an arithmetic number, because the mean of its divisors is an integer number (41822455020).

Almost surely, 2^414042304401 is an apocalyptic number.

It is an amenable number.

414042304401 is a deficient number, since it is larger than the sum of its proper divisors (255116975919).

414042304401 is a wasteful number, since it uses less digits than its factorization.

414042304401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394081853 (or 1394081847 counting only the distinct ones).

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

Adding to 414042304401 its reverse (104403240414), we get a palindrome (518445544815).

The spelling of 414042304401 in words is "four hundred fourteen billion, forty-two million, three hundred four thousand, four hundred one".