1415104416 has 288 divisors, whose sum is σ = 4625449920. Its totient is φ = 406425600.

The previous prime is 1415104409. The next prime is 1415104423. The reversal of 1415104416 is 6144015141.

1415104416 is a `hidden beast` number, since 141 + 5 + 104 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (1415104409) and next prime (1415104423).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1415104416.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6706551 + ... + 6706761.

It is an arithmetic number, because the mean of its divisors is an integer number (16060590).

Almost surely, 2^1415104416 is an apocalyptic number.

1415104416 is a gapful number since it is divisible by the number (16) 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 1415104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312724960).

1415104416 is an abundant number, since it is smaller than the sum of its proper divisors (3210345504).

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

1415104416 is a wasteful number, since it uses less digits than its factorization.

1415104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1415104416 is about 37617.8736241165. The cubic root of 1415104416 is about 1122.6976891681.

Adding to 1415104416 its reverse (6144015141), we get a palindrome (7559119557).

The spelling of 1415104416 in words is "one billion, four hundred fifteen million, one hundred four thousand, four hundred sixteen".