4230007240032 has 768 divisors, whose sum is σ = 15281747712000. Its totient is φ = 1133927424000.

The previous prime is 4230007240001. The next prime is 4230007240051. The reversal of 4230007240032 is 2300427000324.

It is a super-2 number, since 2×4230007240032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4230007239978 and 4230007240005.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1879166907 + ... + 1879169157.

It is an arithmetic number, because the mean of its divisors is an integer number (19898109000).

Almost surely, 2^{4230007240032} is an apocalyptic number.

4230007240032 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 4230007240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640873856000).

4230007240032 is an abundant number, since it is smaller than the sum of its proper divisors (11051740471968).

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

4230007240032 is a wasteful number, since it uses less digits than its factorization.

4230007240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 4230007240032 in words is "four trillion, two hundred thirty billion, seven million, two hundred forty thousand, thirty-two".