414041355 has 64 divisors (see below), whose sum is σ = 905963520. Its totient is φ = 174711168.

The previous prime is 414041339. The next prime is 414041371. The reversal of 414041355 is 553140414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414041339) and next prime (414041371).

It is not a de Polignac number, because 414041355 - 2⁴ = 414041339 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4567 + ... + 29136.

It is an arithmetic number, because the mean of its divisors is an integer number (14155680).

Almost surely, 2^414041355 is an apocalyptic number.

414041355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414041355 is an abundant number, since it is smaller than the sum of its proper divisors (491922165).

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

414041355 is a wasteful number, since it uses less digits than its factorization.

414041355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33737 (or 33731 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 414041355 is about 20348.0061676814. The cubic root of 414041355 is about 745.3288070084.

Adding to 414041355 its reverse (553140414), we get a palindrome (967181769).

The spelling of 414041355 in words is "four hundred fourteen million, forty-one thousand, three hundred fifty-five".