42984115200 has 792 divisors, whose sum is σ = 168525547008. Its totient is φ = 10404495360.

The previous prime is 42984115159. The next prime is 42984115217. The reversal of 42984115200 is 251148924.

42984115200 is a `hidden beast` number, since 4 + 2 + 98 + 41 + 1 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338457537 + ... + 338457663.

Almost surely, 2^42984115200 is an apocalyptic number.

42984115200 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 42984115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84262773504).

42984115200 is an abundant number, since it is smaller than the sum of its proper divisors (125541431808).

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

42984115200 is a wasteful number, since it uses less digits than its factorization.

42984115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 42984115200 in words is "forty-two billion, nine hundred eighty-four million, one hundred fifteen thousand, two hundred".