414530033120200 has 48 divisors (see below), whose sum is σ = 963793278126000. Its totient is φ = 165810129184320.

The previous prime is 414530033120179. The next prime is 414530033120201. The reversal of 414530033120200 is 2021330035414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414530033120201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5936571 + ... + 29399029.

It is an arithmetic number, because the mean of its divisors is an integer number (20079026627625).

Almost surely, 2^{414530033120200} is an apocalyptic number.

414530033120200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414530033120200 is an abundant number, since it is smaller than the sum of its proper divisors (549263245005800).

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

414530033120200 is a wasteful number, since it uses less digits than its factorization.

414530033120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23550814 (or 23550805 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 414530033120200 its reverse (2021330035414), we get a palindrome (416551363155614).

The spelling of 414530033120200 in words is "four hundred fourteen trillion, five hundred thirty billion, thirty-three million, one hundred twenty thousand, two hundred".