42786733200 has 240 divisors, whose sum is σ = 141942867456. Its totient is φ = 11005747200.

The previous prime is 42786733189. The next prime is 42786733211. The reversal of 42786733200 is 233768724.

42786733200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42786733189) and next prime (42786733211).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12534694 + ... + 12538106.

Almost surely, 2^42786733200 is an apocalyptic number.

42786733200 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 42786733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70971433728).

42786733200 is an abundant number, since it is smaller than the sum of its proper divisors (99156134256).

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

42786733200 is a wasteful number, since it uses less digits than its factorization.

42786733200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 42786733200 in words is "forty-two billion, seven hundred eighty-six million, seven hundred thirty-three thousand, two hundred".