4716140000 has 480 divisors, whose sum is σ = 14581407456. Its totient is φ = 1474560000.

The previous prime is 4716139963. The next prime is 4716140027. The reversal of 4716140000 is 416174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48619952 + ... + 48620048.

Almost surely, 2^4716140000 is an apocalyptic number.

4716140000 is a gapful number since it is divisible by the number (40) 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 4716140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290703728).

4716140000 is an abundant number, since it is smaller than the sum of its proper divisors (9865267456).

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

4716140000 is a wasteful number, since it uses less digits than its factorization.

4716140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 4716140000 is about 68674.1581673922. The cubic root of 4716140000 is about 1676.9839119934.

Adding to 4716140000 its reverse (416174), we get a palindrome (4716556174).

The spelling of 4716140000 in words is "four billion, seven hundred sixteen million, one hundred forty thousand".