42967843200 has 672 divisors, whose sum is σ = 161536524840. Its totient is φ = 11287019520.

The previous prime is 42967843199. The next prime is 42967843249. The reversal of 42967843200 is 234876924.

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 83 ways as a sum of consecutive naturals, for example, 263606319 + ... + 263606481.

Almost surely, 2^42967843200 is an apocalyptic number.

42967843200 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 42967843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80768262420).

42967843200 is an abundant number, since it is smaller than the sum of its proper divisors (118568681640).

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

42967843200 is a wasteful number, since it uses less digits than its factorization.

42967843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 429678 and 43200, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 42967843200 in words is "forty-two billion, nine hundred sixty-seven million, eight hundred forty-three thousand, two hundred".