4118714000 has 80 divisors (see below), whose sum is σ = 9973747056. Its totient is φ = 1645056000.

The previous prime is 4118713997. The next prime is 4118714023. The reversal of 4118714000 is 4178114.

It can be written as a sum of positive squares in 8 ways, for example, as 547934464 + 3570779536 = 23408^2 + 59756^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040992 + ... + 2043008.

Almost surely, 2^4118714000 is an apocalyptic number.

4118714000 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 4118714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986873528).

4118714000 is an abundant number, since it is smaller than the sum of its proper divisors (5855033056).

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

4118714000 is a wasteful number, since it uses less digits than its factorization.

4118714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 4118714000 is about 64177.2077921749. The cubic root of 4118714000 is about 1602.9521019173.

The spelling of 4118714000 in words is "four billion, one hundred eighteen million, seven hundred fourteen thousand".