42838286400 has 1344 divisors, whose sum is σ = 203821954560. Its totient is φ = 8493465600.

The previous prime is 42838286389. The next prime is 42838286401. The reversal of 42838286400 is 468283824.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (42838286401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66830080 + ... + 66830720.

It is an arithmetic number, because the mean of its divisors is an integer number (151653240).

Almost surely, 2^42838286400 is an apocalyptic number.

42838286400 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 42838286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101910977280).

42838286400 is an abundant number, since it is smaller than the sum of its proper divisors (160983668160).

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

42838286400 is a wasteful number, since it uses less digits than its factorization.

42838286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 42838286400 in words is "forty-two billion, eight hundred thirty-eight million, two hundred eighty-six thousand, four hundred".