213221240040 has 128 divisors (see below), whose sum is σ = 643959486720. Its totient is φ = 56478105600.

The previous prime is 213221240039. The next prime is 213221240053. The reversal of 213221240040 is 40042122312.

It is a junction number, because it is equal to n+sod(n) for n = 213221239989 and 213221240016.

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, 15146205 + ... + 15160275.

It is an arithmetic number, because the mean of its divisors is an integer number (5030933490).

Almost surely, 2^213221240040 is an apocalyptic number.

213221240040 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 213221240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321979743360).

213221240040 is an abundant number, since it is smaller than the sum of its proper divisors (430738246680).

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

213221240040 is a wasteful number, since it uses less digits than its factorization.

213221240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14923 (or 14919 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 213221240040 its reverse (40042122312), we get a palindrome (253263362352).

The spelling of 213221240040 in words is "two hundred thirteen billion, two hundred twenty-one million, two hundred forty thousand, forty".