211333140480 has 1248 divisors, whose sum is σ = 883514548224. Its totient is φ = 42172416000.

The previous prime is 211333140461. The next prime is 211333140509. The reversal of 211333140480 is 84041333112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1613230015 + ... + 1613230145.

Almost surely, 2^211333140480 is an apocalyptic number.

211333140480 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 211333140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441757274112).

211333140480 is an abundant number, since it is smaller than the sum of its proper divisors (672181407744).

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

211333140480 is a wasteful number, since it uses less digits than its factorization.

211333140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 211333140480 its reverse (84041333112), we get a palindrome (295374473592).

It can be divided in two parts, 21133 and 3140480, that added together give a palindrome (3161613).

The spelling of 211333140480 in words is "two hundred eleven billion, three hundred thirty-three million, one hundred forty thousand, four hundred eighty".