42781939200 has 2160 divisors, whose sum is σ = 213185948976. Its totient is φ = 8051097600.

The previous prime is 42781939159. The next prime is 42781939219. The reversal of 42781939200 is 293918724.

42781939200 is a `hidden beast` number, since 427 + 8 + 19 + 3 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 807206374 + ... + 807206426.

Almost surely, 2^42781939200 is an apocalyptic number.

42781939200 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 42781939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106592974488).

42781939200 is an abundant number, since it is smaller than the sum of its proper divisors (170404009776).

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

42781939200 is a wasteful number, since it uses less digits than its factorization.

42781939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 42781939200 in words is "forty-two billion, seven hundred eighty-one million, nine hundred thirty-nine thousand, two hundred".