211197331440 has 240 divisors, whose sum is σ = 716474678400. Its totient is φ = 55750215168.

The previous prime is 211197331439. The next prime is 211197331447. The reversal of 211197331440 is 44133791112.

It is a happy number.

211197331440 is a `hidden beast` number, since 2 + 1 + 119 + 73 + 31 + 440 = 666.

211197331440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211197331395 and 211197331404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211197331447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29252151 + ... + 29259369.

It is an arithmetic number, because the mean of its divisors is an integer number (2985311160).

Almost surely, 2^211197331440 is an apocalyptic number.

211197331440 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 211197331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358237339200).

211197331440 is an abundant number, since it is smaller than the sum of its proper divisors (505277346960).

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

211197331440 is a wasteful number, since it uses less digits than its factorization.

211197331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 211197331440 in words is "two hundred eleven billion, one hundred ninety-seven million, three hundred thirty-one thousand, four hundred forty".