1416034368 has 168 divisors, whose sum is σ = 4788692480. Its totient is φ = 391495680.

The previous prime is 1416034351. The next prime is 1416034381. The reversal of 1416034368 is 8634306141.

It is a happy number.

1416034368 is a `hidden beast` number, since 1 + 4 + 1 + 603 + 43 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 119328 + ... + 130656.

Almost surely, 2^1416034368 is an apocalyptic number.

1416034368 is a gapful number since it is divisible by the number (18) 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 1416034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394346240).

1416034368 is an abundant number, since it is smaller than the sum of its proper divisors (3372658112).

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

1416034368 is a wasteful number, since it uses less digits than its factorization.

1416034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1416034368 is about 37630.2321013304. The cubic root of 1416034368 is about 1122.9435665109.

The spelling of 1416034368 in words is "one billion, four hundred sixteen million, thirty-four thousand, three hundred sixty-eight".