4142283333048 has 960 divisors, whose sum is σ = 14379831180000. Its totient is φ = 1108859092992.

The previous prime is 4142283333037. The next prime is 4142283333049. The reversal of 4142283333048 is 8403333822414.

4142283333048 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 2 + 8 + 333 + 304 + 8 = 666.

It is a super-2 number, since 2×4142283333048² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4142283332994 and 4142283333012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142283333049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9225575128 + ... + 9225575576.

Almost surely, 2^{4142283333048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142283333048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189915590000).

4142283333048 is an abundant number, since it is smaller than the sum of its proper divisors (10237547846952).

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

4142283333048 is a wasteful number, since it uses less digits than its factorization.

4142283333048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 4142283333048 in words is "four trillion, one hundred forty-two billion, two hundred eighty-three million, three hundred thirty-three thousand, forty-eight".