1416165120 has 432 divisors, whose sum is σ = 5289953760. Its totient is φ = 362299392.

The previous prime is 1416165109. The next prime is 1416165181. The reversal of 1416165120 is 215616141.

1416165120 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 1 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1416165120² = 4011047294209228800, which contains 22 as substring.

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

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, 9020082 + ... + 9020238.

Almost surely, 2^1416165120 is an apocalyptic number.

1416165120 is a gapful number since it is divisible by the number (10) 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 1416165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644976880).

1416165120 is an abundant number, since it is smaller than the sum of its proper divisors (3873788640).

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

1416165120 is an equidigital number, since it uses as much as digits as its factorization.

1416165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1416165120 is about 37631.9693877427. The cubic root of 1416165120 is about 1122.9781284305.

The spelling of 1416165120 in words is "one billion, four hundred sixteen million, one hundred sixty-five thousand, one hundred twenty".