4044142200 has 384 divisors, whose sum is σ = 14999040000. Its totient is φ = 881971200.

The previous prime is 4044142181. The next prime is 4044142247. The reversal of 4044142200 is 22414404.

4044142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4044142200² = 32710172267641680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11587626 + ... + 11587974.

It is an arithmetic number, because the mean of its divisors is an integer number (39060000).

Almost surely, 2^4044142200 is an apocalyptic number.

4044142200 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 4044142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520000).

4044142200 is an abundant number, since it is smaller than the sum of its proper divisors (10954897800).

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

4044142200 is a wasteful number, since it uses less digits than its factorization.

4044142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4044142200 is about 63593.5704297219. The cubic root of 4044142200 is about 1593.2189840304.

Adding to 4044142200 its reverse (22414404), we get a palindrome (4066556604).

The spelling of 4044142200 in words is "four billion, forty-four million, one hundred forty-two thousand, two hundred".