4314013000 has 192 divisors, whose sum is σ = 11237531760. Its totient is φ = 1548800000.

The previous prime is 4314012959. The next prime is 4314013003. The reversal of 4314013000 is 3104134.

It can be written as a sum of positive squares in 8 ways, for example, as 735819876 + 3578193124 = 27126^2 + 59818^2 .

It is a super-2 number, since 2×4314013000² = 37221416328338000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12220824 + ... + 12221176.

Almost surely, 2^4314013000 is an apocalyptic number.

4314013000 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 4314013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618765880).

4314013000 is an abundant number, since it is smaller than the sum of its proper divisors (6923518760).

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

4314013000 is a wasteful number, since it uses less digits than its factorization.

4314013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4314013000 is about 65681.1464577165. The cubic root of 4314013000 is about 1627.8978509076.

Adding to 4314013000 its reverse (3104134), we get a palindrome (4317117134).

The spelling of 4314013000 in words is "four billion, three hundred fourteen million, thirteen thousand".