4314140000 has 120 divisors (see below), whose sum is σ = 11173017240. Its totient is φ = 1634688000.

The previous prime is 4314139967. The next prime is 4314140029. The reversal of 4314140000 is 414134.

It is a super-4 number, since 4×4314140000⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 374324 + ... + 385676.

It is an arithmetic number, because the mean of its divisors is an integer number (93108477).

Almost surely, 2^4314140000 is an apocalyptic number.

4314140000 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 4314140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586508620).

4314140000 is an abundant number, since it is smaller than the sum of its proper divisors (6858877240).

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

4314140000 is a wasteful number, since it uses less digits than its factorization.

4314140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4314140000 is about 65682.1132424955. The cubic root of 4314140000 is about 1627.9138252836.

Adding to 4314140000 its reverse (414134), we get a palindrome (4314554134).

The spelling of 4314140000 in words is "four billion, three hundred fourteen million, one hundred forty thousand".