42826984200 has 1920 divisors, whose sum is σ = 211736448000. Its totient is φ = 7726233600.

The previous prime is 42826984199. The next prime is 42826984201. The reversal of 42826984200 is 248962824.

It is an interprime number because it is at equal distance from previous prime (42826984199) and next prime (42826984201).

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

It is not an unprimeable number, because it can be changed into a prime (42826984201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 308107731 + ... + 308107869.

It is an arithmetic number, because the mean of its divisors is an integer number (110279400).

Almost surely, 2^42826984200 is an apocalyptic number.

42826984200 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 42826984200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105868224000).

42826984200 is an abundant number, since it is smaller than the sum of its proper divisors (168909463800).

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

42826984200 is a wasteful number, since it uses less digits than its factorization.

42826984200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 42826984200 in words is "forty-two billion, eight hundred twenty-six million, nine hundred eighty-four thousand, two hundred".