42844069800 has 768 divisors, whose sum is σ = 181670515200. Its totient is φ = 9057484800.

The previous prime is 42844069787. The next prime is 42844069819. The reversal of 42844069800 is 896044824.

It is a super-2 number, since 2×42844069800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39198054 + ... + 39199146.

It is an arithmetic number, because the mean of its divisors is an integer number (236550150).

Almost surely, 2^42844069800 is an apocalyptic number.

42844069800 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 42844069800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90835257600).

42844069800 is an abundant number, since it is smaller than the sum of its proper divisors (138826445400).

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

42844069800 is a wasteful number, since it uses less digits than its factorization.

42844069800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1188 counting only the distinct ones).

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

The spelling of 42844069800 in words is "forty-two billion, eight hundred forty-four million, sixty-nine thousand, eight hundred".