42781246200 has 768 divisors, whose sum is σ = 189702144000. Its totient is φ = 8600256000.

The previous prime is 42781246199. The next prime is 42781246219. The reversal of 42781246200 is 264218724.

42781246200 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 1 + 24 + 620 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12888141 + ... + 12891459.

It is an arithmetic number, because the mean of its divisors is an integer number (247008000).

Almost surely, 2^42781246200 is an apocalyptic number.

42781246200 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 42781246200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94851072000).

42781246200 is an abundant number, since it is smaller than the sum of its proper divisors (146920897800).

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

42781246200 is a wasteful number, since it uses less digits than its factorization.

42781246200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 42781246200 in words is "forty-two billion, seven hundred eighty-one million, two hundred forty-six thousand, two hundred".