1822793639040 has 1024 divisors, whose sum is σ = 7277768870400. Its totient is φ = 430888550400.

The previous prime is 1822793638987. The next prime is 1822793639047. The reversal of 1822793639040 is 409363972281.

1822793639040 is a `hidden beast` number, since 1 + 8 + 2 + 279 + 363 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1822793639047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 942985914 + ... + 942987846.

Almost surely, 2^{1822793639040} is an apocalyptic number.

1822793639040 is a gapful number since it is divisible by the number (10) 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 1822793639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638884435200).

1822793639040 is an abundant number, since it is smaller than the sum of its proper divisors (5454975231360).

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

1822793639040 is a wasteful number, since it uses less digits than its factorization.

1822793639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1822793639040 in words is "one trillion, eight hundred twenty-two billion, seven hundred ninety-three million, six hundred thirty-nine thousand, forty".