1416870000 has 600 divisors, whose sum is σ = 6133711584. Its totient is φ = 297216000.

The previous prime is 1416869983. The next prime is 1416870019. The reversal of 1416870000 is 786141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8189914 + ... + 8190086.

Almost surely, 2^1416870000 is an apocalyptic number.

1416870000 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 1416870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066855792).

1416870000 is an abundant number, since it is smaller than the sum of its proper divisors (4716841584).

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

1416870000 is a wasteful number, since it uses less digits than its factorization.

1416870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1416870000 is about 37641.3336639392. Note that the first 3 decimals coincide. The cubic root of 1416870000 is about 1123.1644140356.

The spelling of 1416870000 in words is "one billion, four hundred sixteen million, eight hundred seventy thousand".