842010782400 has 126 divisors (see below), whose sum is σ = 2992705179932. Its totient is φ = 224536204800.

The previous prime is 842010782369. The next prime is 842010782407. The reversal of 842010782400 is 4287010248.

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

It is not an unprimeable number, because it can be changed into a prime (842010782407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29222086 + ... + 29250885.

Almost surely, 2^842010782400 is an apocalyptic number.

842010782400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842010782400 is an abundant number, since it is smaller than the sum of its proper divisors (2150694397532).

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

842010782400 is a wasteful number, since it uses less digits than its factorization.

842010782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58472999 (or 58472981 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 842010782400 its reverse (4287010248), we get a palindrome (846297792648).

The spelling of 842010782400 in words is "eight hundred forty-two billion, ten million, seven hundred eighty-two thousand, four hundred".