42959203200 has 768 divisors, whose sum is σ = 163918080000. Its totient is φ = 10979942400.

The previous prime is 42959203187. The next prime is 42959203223. The reversal of 42959203200 is 230295924.

42959203200 is a `hidden beast` number, since 42 + 9 + 592 + 0 + 3 + 20 + 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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 288316726 + ... + 288316874.

It is an arithmetic number, because the mean of its divisors is an integer number (213435000).

Almost surely, 2^42959203200 is an apocalyptic number.

42959203200 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 42959203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040000).

42959203200 is an abundant number, since it is smaller than the sum of its proper divisors (120958876800).

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

42959203200 is a wasteful number, since it uses less digits than its factorization.

42959203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42959203200 in words is "forty-two billion, nine hundred fifty-nine million, two hundred three thousand, two hundred".