4013340100 has 216 divisors, whose sum is σ = 11174979200. Its totient is φ = 1249617600.

The previous prime is 4013340091. The next prime is 4013340103. The reversal of 4013340100 is 10433104.

It is a super-2 number, since 2×4013340100² = 32213797516536020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013340103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4149817 + ... + 4150783.

Almost surely, 2^4013340100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587489600).

4013340100 is an abundant number, since it is smaller than the sum of its proper divisors (7161639100).

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

4013340100 is a wasteful number, since it uses less digits than its factorization.

4013340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 992 counting only the distinct ones).

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

The square root of 4013340100 is about 63350.9281699961. The cubic root of 4013340100 is about 1589.1637679152.

Adding to 4013340100 its reverse (10433104), we get a palindrome (4023773204).

The spelling of 4013340100 in words is "four billion, thirteen million, three hundred forty thousand, one hundred".