417222604000 has 96 divisors (see below), whose sum is σ = 1030269240000. Its totient is φ = 166050086400.

The previous prime is 417222603983. The next prime is 417222604009. The reversal of 417222604000 is 406222714.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 417222604000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417222604009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533926 + ... + 1058074.

It is an arithmetic number, because the mean of its divisors is an integer number (10731971250).

Almost surely, 2^417222604000 is an apocalyptic number.

417222604000 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 417222604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515134620000).

417222604000 is an abundant number, since it is smaller than the sum of its proper divisors (613046636000).

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

417222604000 is a wasteful number, since it uses less digits than its factorization.

417222604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524373 (or 524355 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 417222604000 its reverse (406222714), we get a palindrome (417628826714).

The spelling of 417222604000 in words is "four hundred seventeen billion, two hundred twenty-two million, six hundred four thousand".