4142533752 has 448 divisors, whose sum is σ = 14505246720. Its totient is φ = 1081672704.

The previous prime is 4142533723. The next prime is 4142533757. The reversal of 4142533752 is 2573352414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142533757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32618313 + ... + 32618439.

Almost surely, 2^4142533752 is an apocalyptic number.

4142533752 is a gapful number since it is divisible by the number (42) 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 4142533752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252623360).

4142533752 is an abundant number, since it is smaller than the sum of its proper divisors (10362712968).

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

4142533752 is a wasteful number, since it uses less digits than its factorization.

4142533752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 4142533752 is about 64362.5182229533. The cubic root of 4142533752 is about 1606.0362807253.

The spelling of 4142533752 in words is "four billion, one hundred forty-two million, five hundred thirty-three thousand, seven hundred fifty-two".