414400606541 has 8 divisors (see below), whose sum is σ = 448000656480. Its totient is φ = 381979505808.

The previous prime is 414400606519. The next prime is 414400606549. The reversal of 414400606541 is 145606004414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414400606541 - 2¹⁰ = 414400605517 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414400606549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 294736571 + ... + 294737976.

It is an arithmetic number, because the mean of its divisors is an integer number (56000082060).

Almost surely, 2^414400606541 is an apocalyptic number.

It is an amenable number.

414400606541 is a deficient number, since it is larger than the sum of its proper divisors (33600049939).

414400606541 is a wasteful number, since it uses less digits than its factorization.

414400606541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589474603.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 414400606541 in words is "four hundred fourteen billion, four hundred million, six hundred six thousand, five hundred forty-one".