42947590200 has 192 divisors, whose sum is σ = 137436203520. Its totient is φ = 11087232000.

The previous prime is 42947590199. The next prime is 42947590243. The reversal of 42947590200 is 209574924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3215937 + ... + 3229263.

It is an arithmetic number, because the mean of its divisors is an integer number (715813560).

Almost surely, 2^42947590200 is an apocalyptic number.

42947590200 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 42947590200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68718101760).

42947590200 is an abundant number, since it is smaller than the sum of its proper divisors (94488613320).

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

42947590200 is a wasteful number, since it uses less digits than its factorization.

42947590200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 42947590200 in words is "forty-two billion, nine hundred forty-seven million, five hundred ninety thousand, two hundred".