4258072332000 has 1152 divisors, whose sum is σ = 16195454585856. Its totient is φ = 1057536000000.

The previous prime is 4258072331993. The next prime is 4258072332001. The reversal of 4258072332000 is 2332708524.

4258072332000 is a `hidden beast` number, since 4 + 2 + 580 + 72 + 3 + 3 + 2 + 0 + 0 + 0 = 666.

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 (4258072332001) 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 191 ways as a sum of consecutive naturals, for example, 4170491490 + ... + 4170492510.

It is an arithmetic number, because the mean of its divisors is an integer number (14058554328).

Almost surely, 2^{4258072332000} is an apocalyptic number.

4258072332000 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 4258072332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097727292928).

4258072332000 is an abundant number, since it is smaller than the sum of its proper divisors (11937382253856).

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

4258072332000 is a wasteful number, since it uses less digits than its factorization.

4258072332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 4258072332000 in words is "four trillion, two hundred fifty-eight billion, seventy-two million, three hundred thirty-two thousand".