4314145000 has 80 divisors (see below), whose sum is σ = 11027095200. Its totient is φ = 1568760000.

The previous prime is 4314144973. The next prime is 4314145001. The reversal of 4314145000 is 5414134.

It is a super-2 number, since 2×4314145000² = 37223694162050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4314145001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15781 + ... + 94219.

It is an arithmetic number, because the mean of its divisors is an integer number (137838690).

Almost surely, 2^4314145000 is an apocalyptic number.

4314145000 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 4314145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513547600).

4314145000 is an abundant number, since it is smaller than the sum of its proper divisors (6712950200).

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

4314145000 is a wasteful number, since it uses less digits than its factorization.

4314145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78476 (or 78457 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4314145000 is about 65682.1513045972. The cubic root of 4314145000 is about 1627.9144541897.

Adding to 4314145000 its reverse (5414134), we get a palindrome (4319559134).

The spelling of 4314145000 in words is "four billion, three hundred fourteen million, one hundred forty-five thousand".