212245165440 has 1536 divisors, whose sum is σ = 967856947200. Its totient is φ = 41571532800.

The previous prime is 212245165369. The next prime is 212245165441. The reversal of 212245165440 is 44561542212.

212245165440 is a `hidden beast` number, since 2 + 12 + 2 + 45 + 165 + 440 = 666.

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 = 212245165395 and 212245165404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212245165441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591211981 + ... + 591212339.

It is an arithmetic number, because the mean of its divisors is an integer number (630115200).

Almost surely, 2^212245165440 is an apocalyptic number.

212245165440 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 212245165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483928473600).

212245165440 is an abundant number, since it is smaller than the sum of its proper divisors (755611781760).

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

212245165440 is a wasteful number, since it uses less digits than its factorization.

212245165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 212245165440 in words is "two hundred twelve billion, two hundred forty-five million, one hundred sixty-five thousand, four hundred forty".