211331303311440 has 640 divisors, whose sum is σ = 744335537476608. Its totient is φ = 49210083901440.

The previous prime is 211331303311393. The next prime is 211331303311537. The reversal of 211331303311440 is 44113303133112.

It is a happy number.

It is a super-2 number, since 2×211331303311440² (a number of 29 digits) contains 22 as substring.

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 = 211331303311398 and 211331303311407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3738165414 + ... + 3738221946.

Almost surely, 2^{211331303311440} is an apocalyptic number.

211331303311440 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 211331303311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372167768738304).

211331303311440 is an abundant number, since it is smaller than the sum of its proper divisors (533004234165168).

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

211331303311440 is a wasteful number, since it uses less digits than its factorization.

211331303311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57159 (or 57153 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 211331303311440 its reverse (44113303133112), we get a palindrome (255444606444552).

The spelling of 211331303311440 in words is "two hundred eleven trillion, three hundred thirty-one billion, three hundred three million, three hundred eleven thousand, four hundred forty".