4013442400 has 144 divisors (see below), whose sum is σ = 10769779440. Its totient is φ = 1448345600.

The previous prime is 4013442361. The next prime is 4013442403. The reversal of 4013442400 is 42443104.

It is a super-2 number, since 2×4013442400² = 32215439796235520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013442403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203936 + ... + 1207264.

It is an arithmetic number, because the mean of its divisors is an integer number (74790135).

Almost surely, 2^4013442400 is an apocalyptic number.

4013442400 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 4013442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384889720).

4013442400 is an abundant number, since it is smaller than the sum of its proper divisors (6756337040).

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

4013442400 is a wasteful number, since it uses less digits than its factorization.

4013442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4013442400 is about 63351.7355721215. The cubic root of 4013442400 is about 1589.1772703902.

Adding to 4013442400 its reverse (42443104), we get a palindrome (4055885504).

The spelling of 4013442400 in words is "four billion, thirteen million, four hundred forty-two thousand, four hundred".