42984000800 has 324 divisors, whose sum is σ = 118980271494. Its totient is φ = 15155712000.

The previous prime is 42984000797. The next prime is 42984000803. The reversal of 42984000800 is 800048924.

It is an interprime number because it is at equal distance from previous prime (42984000797) and next prime (42984000803).

It can be written as a sum of positive squares in 9 ways, for example, as 96904336 + 42887096464 = 9844^2 + 207092^2 .

It is not an unprimeable number, because it can be changed into a prime (42984000803) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 71520500 + ... + 71521100.

Almost surely, 2^42984000800 is an apocalyptic number.

42984000800 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 42984000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59490135747).

42984000800 is an abundant number, since it is smaller than the sum of its proper divisors (75996270694).

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

42984000800 is a wasteful number, since it uses less digits than its factorization.

42984000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 42984000800 in words is "forty-two billion, nine hundred eighty-four million, eight hundred", and thus it is an aban number.