4013241400 has 192 divisors, whose sum is σ = 11142144000. Its totient is φ = 1315353600.

The previous prime is 4013241347. The next prime is 4013241409. The reversal of 4013241400 is 41423104.

It is a super-2 number, since 2×4013241400² = 32212213069347920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013241409) by changing a digit.

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, 3862081 + ... + 3863119.

It is an arithmetic number, because the mean of its divisors is an integer number (58032000).

Almost surely, 2^4013241400 is an apocalyptic number.

4013241400 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 4013241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072000).

4013241400 is an abundant number, since it is smaller than the sum of its proper divisors (7128902600).

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

4013241400 is a wasteful number, since it uses less digits than its factorization.

4013241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4013241400 is about 63350.1491710951. The cubic root of 4013241400 is about 1589.1507403832.

Adding to 4013241400 its reverse (41423104), we get a palindrome (4054664504).

The spelling of 4013241400 in words is "four billion, thirteen million, two hundred forty-one thousand, four hundred".