4013342200 has 192 divisors, whose sum is σ = 10920729600. Its totient is φ = 1343347200.

The previous prime is 4013342189. The next prime is 4013342227. The reversal of 4013342200 is 22433104.

It is a super-2 number, since 2×4013342200² = 32213831228601680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14488462 + ... + 14488738.

It is an arithmetic number, because the mean of its divisors is an integer number (56878800).

Almost surely, 2^4013342200 is an apocalyptic number.

4013342200 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 4013342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460364800).

4013342200 is an abundant number, since it is smaller than the sum of its proper divisors (6907387400).

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

4013342200 is a wasteful number, since it uses less digits than its factorization.

4013342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4013342200 is about 63350.9447443367. The cubic root of 4013342200 is about 1589.1640450945.

Adding to 4013342200 its reverse (22433104), we get a palindrome (4035775304).

The spelling of 4013342200 in words is "four billion, thirteen million, three hundred forty-two thousand, two hundred".