213300792040 has 128 divisors (see below), whose sum is σ = 573122304000. Its totient is φ = 69855844608.

The previous prime is 213300791993. The next prime is 213300792053. The reversal of 213300792040 is 40297003312.

213300792040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213300791993 and 213300792011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4736751 + ... + 4781569.

It is an arithmetic number, because the mean of its divisors is an integer number (4477518000).

Almost surely, 2^213300792040 is an apocalyptic number.

213300792040 is a gapful number since it is divisible by the number (20) 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 213300792040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286561152000).

213300792040 is an abundant number, since it is smaller than the sum of its proper divisors (359821511960).

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

213300792040 is a wasteful number, since it uses less digits than its factorization.

213300792040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45599 (or 45595 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 213300792040 its reverse (40297003312), we get a palindrome (253597795352).

The spelling of 213300792040 in words is "two hundred thirteen billion, three hundred million, seven hundred ninety-two thousand, forty".