417004200000 has 420 divisors, whose sum is σ = 1545124988484. Its totient is φ = 111196800000.

The previous prime is 417004199977. The next prime is 417004200001. The reversal of 417004200000 is 2400714.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 307119905856 + 109884294144 = 554184^2 + 331488^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (417004200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16187130 + ... + 16212870.

Almost surely, 2^417004200000 is an apocalyptic number.

417004200000 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 417004200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772562494242).

417004200000 is an abundant number, since it is smaller than the sum of its proper divisors (1128120788484).

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

417004200000 is an frugal number, since it uses more digits than its factorization.

417004200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25790 (or 25751 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 417004200000 its reverse (2400714), we get a palindrome (417006600714).

The spelling of 417004200000 in words is "four hundred seventeen billion, four million, two hundred thousand".