42592822272000 has 7168 divisors, whose sum is σ = 225331100467200. Its totient is φ = 7739670528000.

The previous prime is 42592822271971. The next prime is 42592822272001. The reversal of 42592822272000 is 27222829524.

It is a tau number, because it is divible by the number of its divisors (7168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42592822272001) 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 511 ways as a sum of consecutive naturals, for example, 2241727487991 + ... + 2241727488009.

It is an arithmetic number, because the mean of its divisors is an integer number (31435700400).

Almost surely, 2^{42592822272000} is an apocalyptic number.

42592822272000 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 42592822272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112665550233600).

42592822272000 is an abundant number, since it is smaller than the sum of its proper divisors (182738278195200).

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

42592822272000 is an equidigital number, since it uses as much as digits as its factorization.

42592822272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42592822272000 in words is "forty-two trillion, five hundred ninety-two billion, eight hundred twenty-two million, two hundred seventy-two thousand".