4013241414 has 96 divisors (see below), whose sum is σ = 10099194336. Its totient is φ = 1053803520.

The previous prime is 4013241409. The next prime is 4013241433. The reversal of 4013241414 is 4141423104.

It is a super-2 number, since 2×4013241414² = 32212213294089438792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918924 + ... + 923280.

It is an arithmetic number, because the mean of its divisors is an integer number (105199941).

Almost surely, 2^4013241414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013241414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049597168).

4013241414 is an abundant number, since it is smaller than the sum of its proper divisors (6085952922).

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

4013241414 is a wasteful number, since it uses less digits than its factorization.

4013241414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4013241414 is about 63350.1492815921. The cubic root of 4013241414 is about 1589.1507422311.

Adding to 4013241414 its reverse (4141423104), we get a palindrome (8154664518).

The spelling of 4013241414 in words is "four billion, thirteen million, two hundred forty-one thousand, four hundred fourteen".