414003003413 has 8 divisors (see below), whose sum is σ = 419255921280. Its totient is φ = 408750395040.

The previous prime is 414003003367. The next prime is 414003003461. The reversal of 414003003413 is 314300300414.

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 414003003413 - 2⁸ = 414003003157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414003003613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3908081 + ... + 4012617.

It is an arithmetic number, because the mean of its divisors is an integer number (52406990160).

Almost surely, 2^414003003413 is an apocalyptic number.

It is an amenable number.

414003003413 is a deficient number, since it is larger than the sum of its proper divisors (5252917867).

414003003413 is a wasteful number, since it uses less digits than its factorization.

414003003413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154747.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 414003003413 its reverse (314300300414), we get a palindrome (728303303827).

The spelling of 414003003413 in words is "four hundred fourteen billion, three million, three thousand, four hundred thirteen".