42956200320 has 192 divisors, whose sum is σ = 150502831920. Its totient is φ = 10413568000.

The previous prime is 42956200303. The next prime is 42956200327. The reversal of 42956200320 is 2300265924.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42956200327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139870 + ... + 324770.

Almost surely, 2^42956200320 is an apocalyptic number.

42956200320 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 42956200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75251415960).

42956200320 is an abundant number, since it is smaller than the sum of its proper divisors (107546631600).

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

42956200320 is a wasteful number, since it uses less digits than its factorization.

42956200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184945 (or 184922 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 42956200320 in words is "forty-two billion, nine hundred fifty-six million, two hundred thousand, three hundred twenty".