30821138040 has 1024 divisors, whose sum is σ = 134369280000. Its totient is φ = 5449973760.

The previous prime is 30821138011. The next prime is 30821138041. The reversal of 30821138040 is 4083112803.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30821137989 and 30821138007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30821138041) 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 255 ways as a sum of consecutive naturals, for example, 68643736 + ... + 68644184.

It is an arithmetic number, because the mean of its divisors is an integer number (131220000).

Almost surely, 2^30821138040 is an apocalyptic number.

30821138040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 175559×175560.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30821138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184640000).

30821138040 is an abundant number, since it is smaller than the sum of its proper divisors (103548141960).

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

30821138040 is a wasteful number, since it uses less digits than its factorization.

30821138040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

It can be divided in two parts, 30821 and 138040, that added together give a palindrome (168861).

The spelling of 30821138040 in words is "thirty billion, eight hundred twenty-one million, one hundred thirty-eight thousand, forty".