4142229000 has 256 divisors, whose sum is σ = 15907207680. Its totient is φ = 873907200.

The previous prime is 4142228977. The next prime is 4142229017. The reversal of 4142229000 is 9222414.

4142229000 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 2×4142229000² = 34316122176882000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265414 + ... + 280586.

It is an arithmetic number, because the mean of its divisors is an integer number (62137530).

Almost surely, 2^4142229000 is an apocalyptic number.

4142229000 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 4142229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953603840).

4142229000 is an abundant number, since it is smaller than the sum of its proper divisors (11764978680).

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

4142229000 is a wasteful number, since it uses less digits than its factorization.

4142229000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4142229000 is about 64360.1507145532. The cubic root of 4142229000 is about 1605.9968962325.

The spelling of 4142229000 in words is "four billion, one hundred forty-two million, two hundred twenty-nine thousand".