213422210040 has 256 divisors, whose sum is σ = 707703091200. Its totient is φ = 51166900224.

The previous prime is 213422210039. The next prime is 213422210041. The reversal of 213422210040 is 40012224312.

It is an interprime number because it is at equal distance from previous prime (213422210039) and next prime (213422210041).

It is a junction number, because it is equal to n+sod(n) for n = 213422209989 and 213422210016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213422210041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9290809 + ... + 9313751.

It is an arithmetic number, because the mean of its divisors is an integer number (2764465200).

Almost surely, 2^213422210040 is an apocalyptic number.

213422210040 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 213422210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353851545600).

213422210040 is an abundant number, since it is smaller than the sum of its proper divisors (494280881160).

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

213422210040 is a wasteful number, since it uses less digits than its factorization.

213422210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23126 (or 23122 counting only the distinct ones).

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

Adding to 213422210040 its reverse (40012224312), we get a palindrome (253434434352).

The spelling of 213422210040 in words is "two hundred thirteen billion, four hundred twenty-two million, two hundred ten thousand, forty".