1416052368 has 240 divisors, whose sum is σ = 4482004800. Its totient is φ = 431101440.

The previous prime is 1416052367. The next prime is 1416052373. The reversal of 1416052368 is 8632506141.

It is a happy number.

1416052368 is a `hidden beast` number, since 1 + 41 + 605 + 2 + 3 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1416052361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2141958 + ... + 2142618.

It is an arithmetic number, because the mean of its divisors is an integer number (18675020).

Almost surely, 2^1416052368 is an apocalyptic number.

1416052368 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 1416052368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241002400).

1416052368 is an abundant number, since it is smaller than the sum of its proper divisors (3065952432).

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

1416052368 is a wasteful number, since it uses less digits than its factorization.

1416052368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1416052368 is about 37630.4712699695. The cubic root of 1416052368 is about 1122.9483246107.

The spelling of 1416052368 in words is "one billion, four hundred sixteen million, fifty-two thousand, three hundred sixty-eight".