1417423104 has 288 divisors, whose sum is σ = 4532774400. Its totient is φ = 435456000.

The previous prime is 1417423103. The next prime is 1417423109. The reversal of 1417423104 is 4013247141.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×1417423104⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1417423103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5646979 + ... + 5647229.

It is an arithmetic number, because the mean of its divisors is an integer number (15738800).

Almost surely, 2^1417423104 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 1417423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266387200).

1417423104 is an abundant number, since it is smaller than the sum of its proper divisors (3115351296).

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

1417423104 is a wasteful number, since it uses less digits than its factorization.

1417423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1417423104 is about 37648.6799768597. The cubic root of 1417423104 is about 1123.3105450406.

The spelling of 1417423104 in words is "one billion, four hundred seventeen million, four hundred twenty-three thousand, one hundred four".