213435003040 has 96 divisors (see below), whose sum is σ = 577310799744. Its totient is φ = 73046123520.

The previous prime is 213435003017. The next prime is 213435003053. The reversal of 213435003040 is 40300534312.

It is a junction number, because it is equal to n+sod(n) for n = 213435002996 and 213435003014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452775 + ... + 794905.

It is an arithmetic number, because the mean of its divisors is an integer number (6013654164).

Almost surely, 2^213435003040 is an apocalyptic number.

213435003040 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 213435003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288655399872).

213435003040 is an abundant number, since it is smaller than the sum of its proper divisors (363875796704).

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

213435003040 is a wasteful number, since it uses less digits than its factorization.

213435003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342710 (or 342702 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 213435003040 its reverse (40300534312), we get a palindrome (253735537352).

The spelling of 213435003040 in words is "two hundred thirteen billion, four hundred thirty-five million, three thousand, forty".