1416009504 has 288 divisors, whose sum is σ = 4839004800. Its totient is φ = 353009664.

The previous prime is 1416009451. The next prime is 1416009547. The reversal of 1416009504 is 4059006141.

It is a happy number.

It is a super-3 number, since 3×1416009504³ (a number of 28 digits) contains 333 as substring.

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, 3153472 + ... + 3153920.

It is an arithmetic number, because the mean of its divisors is an integer number (16802100).

Almost surely, 2^1416009504 is an apocalyptic number.

1416009504 is a gapful number since it is divisible by the number (14) 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 1416009504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419502400).

1416009504 is an abundant number, since it is smaller than the sum of its proper divisors (3422995296).

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

1416009504 is a wasteful number, since it uses less digits than its factorization.

1416009504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1416009504 is about 37629.9017272169. The cubic root of 1416009504 is about 1122.9369939227.

The spelling of 1416009504 in words is "one billion, four hundred sixteen million, nine thousand, five hundred four".