1416165000 has 160 divisors (see below), whose sum is σ = 4657884000. Its totient is φ = 357696000.

The previous prime is 1416164999. The next prime is 1416165011. The reversal of 1416165000 is 5616141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282516 + ... + 287484.

It is an arithmetic number, because the mean of its divisors is an integer number (29111775).

Almost surely, 2^1416165000 is an apocalyptic number.

1416165000 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 1416165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328942000).

1416165000 is an abundant number, since it is smaller than the sum of its proper divisors (3241719000).

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

1416165000 is a wasteful number, since it uses less digits than its factorization.

1416165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1416165000 is about 37631.9677933536. The cubic root of 1416165000 is about 1122.9780967117.

The spelling of 1416165000 in words is "one billion, four hundred sixteen million, one hundred sixty-five thousand".