211211225440 has 48 divisors (see below), whose sum is σ = 499017840048. Its totient is φ = 84479187456.

The previous prime is 211211225437. The next prime is 211211225479. The reversal of 211211225440 is 44522112112.

211211225440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211211225440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3413014 + ... + 3474346.

It is an arithmetic number, because the mean of its divisors is an integer number (10396205001).

Almost surely, 2^211211225440 is an apocalyptic number.

211211225440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211225440 is an abundant number, since it is smaller than the sum of its proper divisors (287806614608).

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

211211225440 is a wasteful number, since it uses less digits than its factorization.

211211225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82871 (or 82863 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 211211225440 its reverse (44522112112), we get a palindrome (255733337552).

The spelling of 211211225440 in words is "two hundred eleven billion, two hundred eleven million, two hundred twenty-five thousand, four hundred forty".