414225325200 has 240 divisors, whose sum is σ = 1411628060736. Its totient is φ = 103468646400.

The previous prime is 414225325127. The next prime is 414225325201. The reversal of 414225325200 is 2523522414.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (414225325201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4256284 + ... + 4352516.

Almost surely, 2^414225325200 is an apocalyptic number.

414225325200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414225325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705814030368).

414225325200 is an abundant number, since it is smaller than the sum of its proper divisors (997402735536).

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

414225325200 is a wasteful number, since it uses less digits than its factorization.

414225325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96482 (or 96471 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 414225325200 its reverse (2523522414), we get a palindrome (416748847614).

The spelling of 414225325200 in words is "four hundred fourteen billion, two hundred twenty-five million, three hundred twenty-five thousand, two hundred".