42243552320 has 56 divisors (see below), whose sum is σ = 100730252184. Its totient is φ = 16874274816.

The previous prime is 42243552319. The next prime is 42243552341. The reversal of 42243552320 is 2325534224.

It can be written as a sum of positive squares in 4 ways, for example, as 8246092864 + 33997459456 = 90808^2 + 184384^2 .

It is a super-2 number, since 2×42243552320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 144512 + ... + 324608.

Almost surely, 2^42243552320 is an apocalyptic number.

42243552320 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 42243552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50365126092).

42243552320 is an abundant number, since it is smaller than the sum of its proper divisors (58486699864).

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

42243552320 is a wasteful number, since it uses less digits than its factorization.

42243552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180847 (or 180837 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 42243552320 in words is "forty-two billion, two hundred forty-three million, five hundred fifty-two thousand, three hundred twenty".