414355250220 has 96 divisors (see below), whose sum is σ = 1179704494080. Its totient is φ = 108638165760.

The previous prime is 414355250219. The next prime is 414355250227. The reversal of 414355250220 is 22052553414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414355250227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9285121 + ... + 9329639.

It is an arithmetic number, because the mean of its divisors is an integer number (12288588480).

Almost surely, 2^414355250220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414355250220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589852247040).

414355250220 is an abundant number, since it is smaller than the sum of its proper divisors (765349243860).

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

414355250220 is a wasteful number, since it uses less digits than its factorization.

414355250220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47135 (or 47133 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 414355250220 in words is "four hundred fourteen billion, three hundred fifty-five million, two hundred fifty thousand, two hundred twenty".