4232142720 has 192 divisors, whose sum is σ = 15738559200. Its totient is φ = 1041739776.

The previous prime is 4232142701. The next prime is 4232142721. The reversal of 4232142720 is 272412324.

4232142720 is a `hidden beast` number, since 4 + 232 + 1 + 427 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4232142720² = 35822064004897996800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232142721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46621 + ... + 103139.

Almost surely, 2^4232142720 is an apocalyptic number.

4232142720 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 4232142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869279600).

4232142720 is an abundant number, since it is smaller than the sum of its proper divisors (11506416480).

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

4232142720 is a wasteful number, since it uses less digits than its factorization.

4232142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56557 (or 56542 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4232142720 is about 65054.9207977383. The cubic root of 4232142720 is about 1617.5340626529.

The spelling of 4232142720 in words is "four billion, two hundred thirty-two million, one hundred forty-two thousand, seven hundred twenty".