4013144000 has 112 divisors (see below), whose sum is σ = 9976689216. Its totient is φ = 1599104000.

The previous prime is 4013143973. The next prime is 4013144011. The reversal of 4013144000 is 4413104.

It is a super-2 number, since 2×4013144000² = 32210649529472000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013144000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2487194 + ... + 2488806.

Almost surely, 2^4013144000 is an apocalyptic number.

4013144000 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 4013144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988344608).

4013144000 is an abundant number, since it is smaller than the sum of its proper divisors (5963545216).

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

4013144000 is a wasteful number, since it uses less digits than its factorization.

4013144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4013144000 is about 63349.3804231738. The cubic root of 4013144000 is about 1589.1378842304.

Adding to 4013144000 its reverse (4413104), we get a palindrome (4017557104).

The spelling of 4013144000 in words is "four billion, thirteen million, one hundred forty-four thousand".